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Academic literature on the topic 'Smash products'

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Published: 21 September 2024

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Journal articles on the topic "Smash products"

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Wu, Zhi Xiang. "Generalized Smash Products." Acta Mathematica Sinica, English Series 20, no. 1 (January 2004): 125–34. http://dx.doi.org/10.1007/s10114-003-0293-z.

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Chin, William. "Spectra of smash products." Israel Journal of Mathematics 72, no. 1-2 (February 1990): 84–98. http://dx.doi.org/10.1007/bf02764612.

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Fang, Xiao-Li, and Blas Torrecillas. "Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups." Communications in Algebra 42, no. 10 (May 14, 2014): 4204–34. http://dx.doi.org/10.1080/00927872.2013.806520.

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Wang, Wei, Nan Zhou, and Shuanhong Wang. "Semidirect products of weak multiplier Hopf algebras: Smash products and smash coproducts." Communications in Algebra 46, no. 8 (January 18, 2018): 3241–61. http://dx.doi.org/10.1080/00927872.2017.1407421.

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LYDAKIS, MANOS. "Smash products and Γ-spaces." Mathematical Proceedings of the Cambridge Philosophical Society 126, no. 2 (March 1999): 311–28. http://dx.doi.org/10.1017/s0305004198003260.

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In this paper we construct a symmetric monoidal smash product of Γ-spaces modelling the smash product of connective spectra. For the corresponding theory of ring-spectra, we refer the reader to [Sch].
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Guo, Shuangjian, Xiaohui Zhang, Yuanyuan Ke, and Yizheng Li. "Enveloping actions and duality theorems for partial twisted smash products." Filomat 34, no. 10 (2020): 3217–27. http://dx.doi.org/10.2298/fil2010217g.

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In this paper, we first generalize the theorem about the existence of an enveloping action to a partial twisted smash product. Then we construct a Morita context between the partial twisted smash product and the twisted smash product related to the enveloping action. Finally, we present versions of the duality theorems of Blattner-Montgomery for partial twisted smash products.
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Chuang, Chen-Lian, and Yuan-Tsung Tsai. "Smash products and differential identities." Transactions of the American Mathematical Society 364, no. 8 (August 1, 2012): 4155–68. http://dx.doi.org/10.1090/s0002-9947-2012-05454-7.

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Ribeiro Alvares, Edson, Marcelo Muniz Alves, and María Julia Redondo. "Cohomology of partial smash products." Journal of Algebra 482 (July 2017): 204–23. http://dx.doi.org/10.1016/j.jalgebra.2017.03.020.

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Bergen, Jeffrey, and S. Montgomery. "Smash products and outer derivations." Israel Journal of Mathematics 53, no. 3 (December 1986): 321–45. http://dx.doi.org/10.1007/bf02786565.

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Siciliano, Salvatore, and Hamid Usefi. "Lie structure of smash products." Israel Journal of Mathematics 217, no. 1 (March 2017): 93–110. http://dx.doi.org/10.1007/s11856-017-1439-5.

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Dissertations / Theses on the topic "Smash products"

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Gouthier, Bianca. "Actions rationnelles de schémas en groupes infinitésimaux." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0123.

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Cette thèse porte sur l’étude des actions (rationnelles) des schémas en groupes infinitésimaux, avec un accent particulier sur les schémas en groupes infinitésimaux commutatifs unipotents et les actions génériquement libres et les actions fidèles. Pour tout k-schéma en groupes fini G agissant rationnellement sur une k-variété X, si l’action est génériquement libre, alors la dimension de l’algèbre Lie(G) est majorée par la dimension de la variété. Nous montrons que c’est la seule obstruction lorsque k est un corps parfait de caractéristique positive et que G est infinitésimal commutatif trigonalisable. Si G est unipotent, nous montrons aussi que toute action rationnelle génériquement libre sur X du noyau de (toute puissance du) Frobenius de G s’étend à une action rationnelle génériquement libre de G sur X. De plus, nous donnons des conditions nécessaires pour avoir des actions rationnelles fidèles de schémas en groupes infinitésimaux commutatifs trigonalisables sur des variétés, et des conditions suffisantes (différentes) dans le cas unipotent sur un corps parfait. L’étude des actions fidèles des schémas en groupes sur une variété X fournit des informations sur les sous-groupes représentables du foncteur-groupe des automorphismes AutX de X. Pour tout corps k, PGL2,k représente le foncteur-groupe des automorphismes de P1 k et donc les sous-schémas en groupes de PGL2,k correspondent aux actions fidèles sur P1 k. De plus, PGL2,k(k) coïncide avec le groupe de Cremona en dimension un, c’est-à-dire les morphismes birationnels de P1 k, puisque toute application rationnelle d’une courbe projective non singulière dans elle-même s’étend à la courbe entière. En caractéristique positive, la situation est complètement différente si l’on considère les actions rationnelles de schémas en groupes infinitésimaux. La plupart des actions infinitésimales fidèles sur la droite affine ne s’étendent pas à P1 k. Si la caractéristique d’un corps k est impaire, tout sous-schéma en groupes infinitésimal de PGL2,k se relève à SL2,k. Ceci n’est pas vrai en caractéristique 2 et, dans ce cas, nous donnons une description complète, à isomorphisme près, des sous-schémas en groupes infinitésimaux unipotents de PGL2,k. Enfin, nous prouvons un résultat qui donne une description explicite de tous les k-schémas en groupes infinitésimaux commutatifs unipotents avec algèbre de Lie unidimensionnelle définis sur un corps algébriquement clos k, montrant qu’il y a exactement n tels schémas en groupes non isomorphes d’ordre fixé pn
This thesis focuses on the study of (rational) actions of infinitesimal group schemes, with a particular emphasis on infinitesimal commutative unipotent group schemes and generically free actions and faithful actions. For any finite k-group scheme G acting rationally on a k-variety X, if the action is generically free then the dimension of Lie(G) is upper bounded by the dimension of the variety. We show that this is the only obstruction when k is a perfect field of positive characteristic and G is infinitesimal commutative trigonalizable. If G is unipotent, we also show that any generically free rational action on X of (any power of) the Frobenius kernel of G extends to a generically free rational action of G on X. Moreover, we give necessary conditions to have faithful rational actions of infinitesimal commutative trigonalizable group schemes on varieties, and (different) sufficient conditions in the unipotent case over a perfect field. Studying faithful group scheme actions on a variety X yields information on representable subgroups of the automorphism group functor AutX of X. For any field k, PGL2,k represents the automorphism group functor of P1 k and thus subgroup schemes of PGL2,k correspond to faithful actions on P1 k. Moreover, PGL2,k(k) coincides with the Cremona group in dimension one, i.e. birational self-maps of P1 k, since any rational self-map of a projective non-singular curve extends to the whole curve. In positive characteristic, the situation is completely different if we consider rational actions of infinitesimal group schemes. Most of the faithful infinitesimal actions on the affine line do not extend to P1 k. If the characteristic of a field k is odd, any infinitesimal subgroup scheme of PGL2,k lifts to SL2,k. This is not true in characteristic 2 and, in this case, we give a complete description, up to isomorphism, of infinitesimal unipotent subgroup schemes of PGL2,k. Finally, we prove a result that gives an explicit description of all infinitesimal commutative unipotent k-group schemes with one-dimensional Lie algebra defined over an algebraically closed field k, showing that there are exactly n non-isomorphic such group schemes of fixed order pn
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Almoosawi, Somar. "Product Related Research Regarding Small and Medium Sized Enterprises, in Hong Kong and South China, Environmental Management Systems." Thesis, Linköping : Linköping University. Institute of Technology, 2008. http://www.diva-portal.org/smash/get/diva2:114196/FULLTEXT01.

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Welsh, Charles Clymer. "Some results in crossed products and lie algebra smash products." 1990. http://catalog.hathitrust.org/api/volumes/oclc/22425708.html.

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Young, Christopher. "The Depth of a Hopf algebra in its Smash Product." Doctoral thesis, 2014. https://repositorio-aberto.up.pt/handle/10216/102331.

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Young, Christopher. "The Depth of a Hopf algebra in its Smash Product." Tese, 2014. https://repositorio-aberto.up.pt/handle/10216/102331.

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Shakalli, Tang Jeanette. "Deformations of Quantum Symmetric Algebras Extended by Groups." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-05-10855.

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The study of deformations of an algebra has been a topic of interest for quite some time, since it allows us to not only produce new algebras but also better understand the original algebra. Given an algebra, finding all its deformations is, if at all possible, quite a challenging problem. For this reason, several specializations of this question have been proposed. For instance, some authors concentrate their efforts in the study of deformations of an algebra arising from an action of a Hopf algebra. The purpose of this dissertation is to discuss a general construction of a deformation of a smash product algebra coming from an action of a particular Hopf algebra. This Hopf algebra is generated by skew-primitive and group-like elements, and depends on a complex parameter. The smash product algebra is defined on the quantum symmetric algebra of a nite-dimensional vector space and a group. In particular, an application of this result has enabled us to find a deformation of such a smash product algebra which is, to the best of our knowledge, the first known example of a deformation in which the new relations in the deformed algebra involve elements of the original vector space. Finally, using Hochschild cohomology, we show that these deformations are nontrivial.
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Books on the topic "Smash products"

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Conference on Hopf Algebras and Tensor Categories (2011 University of Almeria). Hopf algebras and tensor categories: International conference, July 4-8, 2011, University of Almería, Almería, Spain. Edited by Andruskiewitsch Nicolás 1958-, Cuadra Juan 1975-, and Torrecillas B. (Blas) 1958-. Providence, Rhode Island: American Mathematical Society, 2013.

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Partial Dynamical Systems, Fell Bundles and Applications. American Mathematical Society, 2017.

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Bruner, R. R. H. Springer, 1986.

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Book chapters on the topic "Smash products"

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Nastasescu, Constantin, and Freddy Van Oystaeyen. "7. Smash Products." In Methods of Graded Rings, 187–221. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-40998-4_7.

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Jardine, J. F. "Smash products of spectra." In Generalized Etale Cohomology Theories, 1–29. Basel: Springer Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-0066-2_1.

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Lewis, L. G., J. P. May, and M. Steinberger. "Twisted half smash products and extended powers." In Lecture Notes in Mathematics, 299–349. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075785.

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Shaoxue, Liu, and Fred Oystaeyen. "Group Graded Rings, Smash Products and Additive Categories." In Perspectives in Ring Theory, 299–310. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2985-2_26.

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Ngompé, Arnaud Ngopnang. "Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres." In Toric Topology and Polyhedral Products, 253–75. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57204-3_13.

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Lewis, L. G., and J. P. May. "Change of universe, smash products, and change of groups." In Lecture Notes in Mathematics, 54–116. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075781.

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Doi, Yukio. "Generalized Smash Products and Morita Contexts for Arbitrary Hopf Algebras." In Advances in Hopf Algebras, 39–53. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003419792-3.

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Yan, Yan, and Lihui Zhou. "Separability Extension of Right Twisted Weak Smash Product." In Advances in Intelligent and Soft Computing, 103–7. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14880-4_12.

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Ilankovan, Velupillai, and Tian Ee Seah. "Surgical Facelift." In Oral and Maxillofacial Surgery for the Clinician, 759–73. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-1346-6_37.

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AbstractWith aging, a combination of gravitational forces, laxity of the skin due to loss of elasticity, decreased dermal thickness and loss of dermal appendages results in ptotic, hanging skin. Face lift or rhytidectomy as its name suggest is a procedure to partially eliminate folds, creases and wrinkles (rhytids) caused by gravity and degeneration. The creation of two large cervicofacial flaps which after suspension and trimming, produces an overall tightening the skin and the fascial envelope of the face and neck results in restored anatomical structure. Treatment of the SMAS layer is important and can be broadly categorized into 3 methods. They are plication, elevation and imbrication and SMASectomy. Platysma elevation and plication can be carried out simultaneously for the neck. Face lift can help to negate some of these gravitational problems and produce some intrinsic improvement. Complications include haematoma, skin ischaemia and necrosis, obvious scarring, sensory disturbances, motor nerve disturbances and ear lobe irregularities.
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Yan, Yan, Nan Ji, Lihui Zhou, and Qiuna Zhang. "Some Properties of a Right Twisted Smash Product A*H over Weak Hopf Algebras." In Communications in Computer and Information Science, 101–8. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16336-4_14.

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Conference papers on the topic "Smash products"

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Zhao Lihui. "Generalized L-R smash products and diagonal crossed products of multiplier Hopf algebras." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002679.

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Hadzihasanovic, Amar. "The Smash Product of Monoidal Theories." In 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2021. http://dx.doi.org/10.1109/lics52264.2021.9470575.

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Konh, Bardia. "Finite Element Studies of Triple Actuation of Shape Memory Alloy Wires for Surgical Tools." In 2018 Design of Medical Devices Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/dmd2018-6857.

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Since the early discovery in 1951 [1], shape memory alloys (SMAs) have been used in design and development of several innovative engineering systems. SMAs’ unique characteristics have introduced unconventional alternatives in design and development of advanced devices. SMA’s field of applications has covered many areas from aerospace to auto industries, and medical devices [2]. During the past couple of decades, scientists have suggested material models to predict the SMA’s shape memory effect (SME) and its superelastic behavior. The superelastic characteristic of SMAs (its capability to exhibit a large recoverable strain) has been widely used to develop innovative products including biomedical implants such as stents, artificial heart valves, orthodontic wires, frames of indestructible spectacles, etc. However, its actuation capabilities, known as SME, hasn’t been thoroughly expanded. The number of products privileging from SMA’s SME behavior has been very limited. The reason relies on the SMA’s complex material properties that depend on the stress, strain and temperature at every stage of actuation as well as the material’s processing and the thermomechanical loading history.
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Worrell, Dominique, Faith Gantz, Linden Bolisay, Art Palisoc, and Marcus L. Young. "Shape Memory Alloy Design for a Lightweight and Low Stow Volume Expandable Solar Concentrator." In SMST 2024. ASM International, 2024. http://dx.doi.org/10.31399/asm.cp.smst2024p0115.

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Abstract Solar concentrators increase the amount of usable energy available in solar collection systems by focusing energy through an aperture to which energy is magnified within the area of its trajectory. Design challenges of a solar concentrators for space applications are to make them more lightweight, compact, and exhibit a smooth and consistent reflective surface curvature for optimal performance. Shape memory alloys (SMAs) offer an effective and compact solution to engineering needs, such as solar reflectors, to reduce weight and improve overall energy collection and concentration performance. The one-way shape memory effect can be used for this application, where the SMA is heat treated in a strained designed curvature by forcing the austenite microstructure to “remember” the original shape even after deformation. SMAs are capable of actuating from the stow configuration and into the designed shape after the solar energy exposure induces a phase transformation. In this study, NiTi and NiTiCu SMAs were thermomechanically processed into plates and cut into three sizes of triangular chips for use as reflector components. Standard binary NiTi SMAs was modified with the substitution of Cu for Ni to achieve a narrower hysteresis and better thermomechanical cycling stability. The SMAs were produced from commercially available NiTi SM495 plates by ATI Specialty Alloys and Components (Albany, OR) and custom-melted NiTiCu buttons. Each processing step was comprehensively characterized to monitor microstructural and thermomechanical property changes using differential scanning calorimetry (DSC), scanning electron microscopy (SEM), and Vickers hardness (HV). The NiTi and NiTiCu triangular chips were shape-set utilizing a custom-made apparatus to attain the intended curved surface with specific dimensions for a reflector component within a solar concentrator.
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De Nardi, Alice, Andrea Marinelli, Flavia Papile, and Andrea Cadelli. "Hoyo – Shape Memory Alloys enable a new way to approach the treatment of the Autism Spectrum Disorder." In Intelligent Human Systems Integration (IHSI 2022) Integrating People and Intelligent Systems. AHFE International, 2022. http://dx.doi.org/10.54941/ahfe100943.

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Sensory disorders characterise 90% of individuals with an autistic spectrum disorder (ASD); however, each individual is unique. Hoyo is an innovative product that fits the single sensory profile of the child. The device provides complex sensorial stimulation to the trunk of the user’s body thanks to a series of inflatable bladders. To do so, Hoyo features shape memory alloys (SMAs), which provide a compact, lightweight, and silent system. Indeed, such properties are all essential characteristics for a product dedicated to ASD. Therapists can program the system to adapt Hoyo to the child’s needs rather than asking the child to accommodate an existing product. Being able to release the tension caused by an over-stimulating environment is the first step towards achieving a higher level of inclusion in the educational system.
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Magalhães Lopes, Luzia Marcela, Maxsuel Ferreira Cunha, José Marques Basílio Sobrinho, Cícero Da Rocha Souto, Andreas Ries, Jordashe Ivys Souza Bezerra, and Euler Cássio Tavares de Macêdo. "Electronic Instrumentation for Shape Memory Alloy Actuators." In Congresso Brasileiro de Automática - 2020. sbabra, 2020. http://dx.doi.org/10.48011/asba.v2i1.1635.

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Shape memory alloy (SMA) actuators have been increasingly found applications due to their low weight and high power capacity. Additionally they are able to function as a sensor. Upon phase transformation, the material changes its electrical resistance. Phase transformation in SMAs occurs either by loading or heating the material. Since SMAs materials are usually metals, heat can be produced by passing an electric current through the alloy. This idea in mind, the present work reports the development of electronic circuits for power supply, current measurement and voltage measurement for shape memory alloy actuators. For validation of the operation of the designed circuits, a NiTi helical spring type alloy actuator was tested. The actuator was mounted on a mechanical platform; it was possible to determine its thermal behavior and force generation. Characteristic operation curves of the helical spring type actuator are presented.
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Hoffmann, Fabian, Robin Roj, Ralf Theiß, and Peter Dültgen. "Development of Shape Memory-Based Elastic-Adaptive Damping Elements for Sport and Rehabilitation Equipment." In ASME 2020 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/smasis2020-2255.

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Abstract The generation and variation of forces necessary to achieve a training stimulus is often realized in sports and rehabilitation equipment by manually adjustable masses or by complex motor-brake systems. This leads to heavy and unwieldy systems, which cannot be used flexibly, and in addition to high costs. The main objective of this paper is to prove that pseudoelastic shape memory alloys (SMA) are potentially suitable for use in sports and rehabilitation equipment and offer additional value in the area of training flexibility combined with high training resistance. Therefore, the properties of pseudoelastic SMAs for this application were investigated. These multifunctional materials offer the potential for special elastic and sensory properties. The pseudoelastic effect is based on stress-induced martensite formation, which allows high elastic deformations. During this phase transformation, the mechanical stress passes through a plateau. The stress plateau can be moved by changing the temperature of the SMA. The determination of properties of pseudoelastic SMAs with different alloy compositions was carried out according to the specifications of “VDI 2248: Product Development with Shape Memory Technology”. With a functional model based on the material tests, which replaces a commercially available force clamping device, the monitoring of force, displacement and temperature changes can be realized by the integrated sensor technology. This paper presents the methodology, experiments and findings for the use of pseudoelastic SMAs in sport and rehabilitation devices. It concludes with prospects to commercial application.
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Haberland, Christoph, Horst Meier, and Jan Frenzel. "On the Properties of Ni-Rich NiTi Shape Memory Parts Produced by Selective Laser Melting." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-8040.

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Processing of Nickel-Titanium (NiTi) shape memory alloys (SMAs) is challenging because smallest compositional variances and all types of microstructural features strongly affect the elementary processes of the martensitic transformation and thus the functional properties of the material. Against this background, powder metallurgical near net shape methods are attractive for the production of NiTi components. Especially additive manufacturing technologies (AM) seem to provide high potential, although they have received only little attention for processing NiTi so far. This work is the first to report on pseudoelastic properties of additive manufactured Ni-rich NiTi. We show how to establish pseudoelasticity in NiTi samples prepared by the additive manufacturing technique Selective Laser Melting (SLM). Therefore, we analyze phase transformation behavior, mechanical characteristics and functional properties of our materials subjected to different heat treatments. The obtained results are compared to the behavior of conventional NiTi. The presented results clearly indicate that SLM provides a promising processing route for the fabrication of high quality NiTi parts.
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Hadi, Alireza, Mohammad Elahinia, Aghil Yousefi-Koma, Majid M. Moghadam, and Cory Chapman. "Position and Force Control of an SMA Spring Based Differential Actuator." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3755.

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Actuators as a major component of all mechanical systems require improving in size, power, noise and simplicity. In most presented actuators, there is no such feature of suitable positioning of load, variable stiffness/force and active shock damping simultaneously. Shape Memory Alloys (SMAs) can be a suitable choice for providing the above capabilities in the systems. Especially the spring type SMAs are less utilized in the developed SMA based systems. SMA springs in comparison to SMA wires may provide much more deflection although less force is produced through them. This property may tend to a more flexibility in the developed mechanisms. Additionally the actuator capability in controlling position and force is not presented in the works. In this paper, an actuator with one DOF utilizing SMA springs with the above features is considered. The actuator mechanism is based on the antagonistic application of SMA springs that provide faster actuation response and controllable stiffness. It is shown that such an actuator demonstrates a good positioning accuracy in addition to a higher level force and stiffness control capability. As a result, the mechanical systems with such actuator behave more flexible with less bodily damage while encountering environment.
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Roj, Robin, Ralf Theiß, Peter Dültgen, Florian Schummer, Jakob Bachler, Roland Konlechner, and Sebastian Würl. "Data Analytics Supported Quality Control of Serial-Produced SMA-Actuators for Space Applications." In ASME 2020 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/smasis2020-2260.

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Abstract Due to their manifold application possibilities, shape memory alloys (SMA) become more and more common in all kinds of industrial tasks. For an operation in mass-manufactured products, it is inevitable to investigate the fundamental properties of the respective material and to perfect the fabrication process. A potential use of SMAs in aerospace is even more demanding, since the testing and qualification is quite complex, and the components are solely built in small batch series. In order to prove possible approaches for manufacturing, for this paper several specimens of two generations of an intelligent redundant spacecraft actuator were assembled. Evaluating the intrinsic effect of SMA-wires, it was possible to detect signs of fatigue in the material and realize preventive maintenance. Beside a description of the manufacturing steps of both generations, the test results are presented in detail and it can be concluded that the second generation is, due to its design, more suitable for a serial production as well as more robust and efficient. It is shown that over the lifetime of the actuator the properties of the SMA-material are continuously changing.
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