Relevant bibliographies by topics / C*-algebra

Academic literature on the topic 'C*-algebra'

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Published: 4 June 2021
Last updated: 8 June 2024

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Journal articles on the topic "C*-algebra"

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Loring, Terry A. "$C^*$-Algebra relations." MATHEMATICA SCANDINAVICA 107, no. 1 (September 1, 2010): 43. http://dx.doi.org/10.7146/math.scand.a-15142.

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We investigate relations on elements in $C^{*}$-algebras, including $*$-polynomial relations, order relations and all relations that correspond to universal $C^{*}$-algebras. We call these $C^{*}$-relations and define them axiomatically. Within these are the compact $C^{*}$-relations, which are those that determine universal $C^{*}$-algebras, and we introduce the more flexible concept of a closed $C^{*}$-relation. In the case of a finite set of generators, we show that closed $C^{*}$-relations correspond to the zero-sets of elements in a free $\sigma$-$C^{*}$-algebra. This provides a solid link between two of the previous theories on relations in $C^{*}$-algebras. Applications to lifting problems are briefly considered in the last section.
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Murphy, Gerald J. "The C*-Algebra of a Function Algebra." Integral Equations and Operator Theory 47, no. 3 (November 1, 2003): 361–74. http://dx.doi.org/10.1007/s00020-002-1167-y.

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Wei, Xiaomin, Lining Jiang, and Dianlu Tian. "The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra." Mathematics 9, no. 9 (May 1, 2021): 1023. http://dx.doi.org/10.3390/math9091023.

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Let H be a finite Hopf C*-algebra and A a C*-algebra of finite dimension. In this paper, we focus on the crossed product A⋊H arising from the action of H on A, which is a ∗-algebra. In terms of the faithful positive Haar measure on a finite Hopf C*-algebra, one can construct a linear functional on the ∗-algebra A⋊H, which is further a faithful positive linear functional. Here, the complete positivity of a positive linear functional plays a vital role in the argument. At last, we conclude that the crossed product A⋊H is a C*-algebra of finite dimension according to a faithful ∗- representation.
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Somerset, D. "The local multiplier algebra of A C=*=-algebra." Quarterly Journal of Mathematics 47, no. 185 (March 1, 1996): 123–32. http://dx.doi.org/10.1093/qjmath/47.185.123.

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Bice, Tristan, and Alessandro Vignati. "$C^*$-algebra distance filters." Advances in Operator Theory 3, no. 3 (April 2018): 655–81. http://dx.doi.org/10.15352/aot.1710-1241.

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Fattahi, Fatemeh. "Fuzzy Quasi C*-algebra." Fuzzy Information and Engineering 5, no. 3 (September 2013): 327–33. http://dx.doi.org/10.1007/s12543-013-0152-2.

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Arklint, Sara E. "Hereditary C∗-subalgebras of graph C∗-algebras." Journal of Operator Theory 84, no. 1 (May 15, 2020): 99–126. http://dx.doi.org/10.7900/jot.2019jan21.2230.

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We show that a C∗-algebra A which is stably isomorphic to a unital graph C∗-algebra, is isomorphic to a graph C∗-algebra if and only if it admits an approximate unit of projections. As a consequence, a hereditary C∗-subalgebra of a unital real rank zero graph C∗-algebra is isomorphic to a graph C∗-algebra. Furthermore, if a C∗-algebra A admits an approximate unit of projections, then its minimal unitization is isomorphic to a graph C∗-algebra if and only if A is stably isomorphic to a unital graph C∗-algebra.
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Ng, P. W. "The multiplier algebra of a nuclear quasidiagonal C*-algebra." Bulletin of the London Mathematical Society 40, no. 5 (July 18, 2008): 827–37. http://dx.doi.org/10.1112/blms/bdn062.

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Somerset, D. W. B. "The Local Multiplier Algebra of a C*-Algebra, II." Journal of Functional Analysis 171, no. 2 (March 2000): 308–30. http://dx.doi.org/10.1006/jfan.2000.3527.

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Robinson, P. L. "The Even C ∗ Clifford Algebra." Proceedings of the American Mathematical Society 118, no. 3 (July 1993): 713. http://dx.doi.org/10.2307/2160109.

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Dissertations / Theses on the topic "C*-algebra"

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Thom, Andreas Berthold. "Connective E-theory and bivariant homology for C*-algebras." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=968501311.

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Melo, S. T., R. Nest, and Elmar Schrohe. "C*-structure and K-theory of Boutet de Monvel's algebra." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2616/.

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We consider the norm closure A of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold X with boundary ∂X. We first describe the image and the kernel of the continuous extension of the boundary principal symbol homomorphism to A. If X is connected and ∂X is not empty, we then show that the K-groups of A are topologically determined. In case the manifold, its boundary, and the cotangent space of its interior have torsion free K-theory, we get Ki(A,k) congruent Ki(C(X))⊕Ksub(1-i)(Csub(0)(T*X)),i = 0,1, with k denoting the compact ideal, and T*X denoting the cotangent bundle of the interior. Using Boutet de Monvel's index theorem, we also prove that the above formula holds for i = 1 even without this torsion-free hypothesis. For the case of orientable, two-dimensional X, Ksub(0)(A) congruent Z up(2g+m) and Ksub(1)(A) congruent Z up(2g+m-1), where g is the genus of X and m is the number of connected components of ∂X. We also obtain a composition sequence 0 ⊂ k ⊂ G ⊂ A, with A/G commutative and G/k isomorphic to the algebra of all continuous functions on the cosphere bundle of ∂X with values in compact operators on L²(R+).
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Rankin, Fenella Kathleen Clare. "The arithmetic and algebra of Luca Pacioli (c.1445-1517)." Thesis, University of London, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338276.

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Ernst, Dana C. "A diagrammatic representation of an affine C Temperley-Lieb algebra." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3315838.

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Grundling, Hendrik, and hendrik@maths unsw edu au. "Host Algebras." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi896.ps.

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Gupta, Davender Nath. "Expressing imaging algorithms using a C++ based image algebra programming environment /." Online version of thesis, 1990. http://hdl.handle.net/1850/11370.

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Ditsche, Jochen. "Pseudodifferential analysis in Y*-algebras [psi*-algebras] on transmission spaces, infinite solving ideal chains and K-theory for conformally compact spaces." Aachen Shaker, 2008. http://d-nb.info/988688409/04.

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Al-Rawashdeh, Ahmed. "The unitary group as an invariant of a simple unital C*-algebra." Thesis, University of Ottawa (Canada), 2003. http://hdl.handle.net/10393/28972.

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In 1954, H. Dye proved that the unitary groups of von Neumann factors not of type I2n determine the algebraic type of factors. Using Dye's result, M. Broise showed that any isomorphism between the unitary groups of two von Neumann factors not of type In is implemented by a linear or a conjugate linear *-isomorphism between the factors. Using Dye's approach, A. Booth proved that two simple unital AF-algebras are isomorphic if and only if their unitary groups are (algebraically) isomorphic. In the first part of this thesis, we extend Booth's result to a larger class of amenable unital C*-algebras. If ϕ is an isomorphism between the unitary groups of two unital C*-algebras, it induces a bijective map &thgr;ϕ between the sets of projections of the algebras. For some UHF-algebras, we construct an automorphism ϕ of their unitary group, such that &thgr;ϕ does not preserve the orthogonality of projections. For a large class of unital C*-algebras, we show that &thgr;ϕ is always an orthoisomorphism. This class includes in particular the Cuntz algebras On , 2 ≤ n ≤ infinity, and the simple unital AF-algebras having 2-divisible K0-group. If ϕ is a continuous automorphism of the unitary group of a UHF-algebra A, we show that ϕ is implemented by a linear or a conjugate linear *-automorphism of A.
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Oliveira, Everton Franco de. "Produto cruzado de uma C*-álgebra por Z, generalização do teorema de Fejér e exemplos." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-08032016-182415/.

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Neste trabalho, apresentamos uma introdução às C*-álgebras e a construção do produto cruzado $A times_{\\alpha} Z$, onde A é uma C*-álgebra com unidade, e $\\alpha$ é um automorfismo em A. Apresentamos, também, uma generalização do Teorema de Fejér, no contexto de produto cruzado. A título de exemplo de produto cruzado, provamos que $C times_ Z$ é isomorfo a C(S^1). Sendo X uma compactificação de Z pela adição dos símbolos $+\\infty$ e $-\\infty$, provamos que o produto cruzado $C(X) times_{\\alpha} Z$ é isomorfo A, o fecho do conjunto dos operadores pseudodiferenciais clássicos de ordem 0 sobre S^1, onde é definido pelo deslocamento. Com posse destes isomorfismos, vimos a implicação da generalização do Teorema de Fejér para C(S^1) e para A.
We present an introduction to C * -algebras and the construction of the crossed product $A times_{\\alpha} Z$, where A is a C *-algebra with unit, and $\\alpha$ is an automorphism in A. We also study a generalization of Fejérs theorem on crossed product context. As an example of crossed product, we prove that $C times_ Z$ is isomorphic to C(S^1). Let X be a compactification of Z by addition of the symbols $+\\infty$ and $-\\infty$. We prove that $C(X) times_{\\alpha} Z$ is isomorphic A, the closure of set of classics pseudo-differential operators of order 0 on S^1, where is defined by a shift. Based on these isomorphisms, we see the implication of the generalization of Fejérs theorem for C(S^1) and A.
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Wood, Peter John, and drwoood@gmail com. "Wavelets and C*-algebras." Flinders University. Informatics and Engineering, 2003. http://catalogue.flinders.edu.au./local/adt/public/adt-SFU20070619.120926.

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A wavelet is a function which is used to construct a specific type of orthonormal basis. We are interested in using C*-algebras and Hilbert C*-modules to study wavelets. A Hilbert C*-module is a generalisation of a Hilbert space for which the inner product takes its values in a C*-algebra instead of the complex numbers. We study wavelets in an arbitrary Hilbert space and construct some Hilbert C*-modules over a group C*-algebra which will be used to study the properties of wavelets. We study wavelets by constructing Hilbert C*-modules over C*-algebras generated by groups of translations. We shall examine how this construction works in both the Fourier and non-Fourier domains. We also make use of Hilbert C*-modules over the space of essentially bounded functions on tori. We shall use the Hilbert C*-modules mentioned above to study wavelet and scaling filters, the fast wavelet transform, and the cascade algorithm. We shall furthermore use Hilbert C*-modules over matrix C*-algebras to study multiwavelets.
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Books on the topic "C*-algebra"

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C*-algebra extensions of C(X). Providence, R.I: American Mathematical Society, 1995.

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Approximate homotopy of homomorphisms from C(X) into a simple C*-algebra. Providence, R.I: American Mathematical Society, 2010.

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Power, S. C. Limit algebras: An introduction to subalgebras of C*-algebras. Essex, England: Longman Scientific & Technical, 1992.

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1972-, Tan Kiat Shi, and Steeb W. -H, eds. Computer algebra with SymbolicC++. Hackensack, NJ: World Scientific, 2008.

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Martin, Mathieu, ed. Local multipliers of C*-algebras. London: Springer, 2003.

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Shi, Tan Kiat. Symbolic C++: An introduction to computer algebra using object-oriented programming. Singapore: Springer, 1998.

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Etingof, P. I. Lectures on quantum groups. Cambridge, MA: International Press Inc., 1998.

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1958-, Roch Steffen, and Silbermann Bernd 1941-, eds. C*-algebras and numerical analysis. New York: Marcel Dekker, 2001.

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Lin, Huaxin. Locally AH-algebras. Providence, Rhode Island: American Mathematical Society, 2015.

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Phillips, N. Christopher. Equivariant K-theory and freeness of group actions on C*-algebras. Berlin: Springer-Verlag, 1987.

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Book chapters on the topic "C*-algebra"

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Strung, Karen R. "C*-algebra basics." In Advanced Courses in Mathematics - CRM Barcelona, 14–25. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47465-2_2.

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Kadison, Richard V., and John R. Ringrose. "Elementary C*-Algebra Theory." In Fundamentals of the Theory of Operator Algebras, 139–206. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-3212-4_4.

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Wedhorn, Torsten. "Appendix C: Basic Algebra." In Manifolds, Sheaves, and Cohomology, 291–315. Wiesbaden: Springer Fachmedien Wiesbaden, 2016. http://dx.doi.org/10.1007/978-3-658-10633-1_14.

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Gohberg, I., M. A. Kaashoek, and S. Goldberg. "Elements of C*-Algebra Theory." In Classes of Linear Operators Vol. II, 843–69. Basel: Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8558-4_13.

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Bru, Jean-Bernard, and Walter de Alberto Siqueira Pedra. "Elements of C∗-Algebra Theory." In C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics, 67–200. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-28949-1_4.

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Alfsen, Erik M., and Frederic W. Shultz. "Characterization of C*-algebra State Spaces." In Geometry of State Spaces of Operator Algebras, 375–417. Boston, MA: Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0019-2_11.

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "The dg Hopf algebra C*(ΩX)." In Graduate Texts in Mathematics, 343–50. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_27.

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "The cochain algebra C*(X; $$\Bbbk $$ )." In Graduate Texts in Mathematics, 65–67. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_6.

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Skill, Thomas. "Hardy-Toeplitz-C*-Algebra T(S)." In Toeplitz-Quantisierung symmetrischer Gebiete auf Grundlage der C*-Dualität, 131–58. Wiesbaden: Vieweg+Teubner, 2011. http://dx.doi.org/10.1007/978-3-8348-8179-3_6.

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Skill, Thomas. "Bergman-Toeplitz-C*-Algebra Tν(B)." In Toeplitz-Quantisierung symmetrischer Gebiete auf Grundlage der C*-Dualität, 159–87. Wiesbaden: Vieweg+Teubner, 2011. http://dx.doi.org/10.1007/978-3-8348-8179-3_7.

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Conference papers on the topic "C*-algebra"

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Widodo, Nugroho Dwi, Shely Mutiara Maghfira, Rizky Rosjanuardi, and Sumanang Muhtar Gozali. "Connection between Cohn path algebra and C*-algebra through Leavitt path algebra." In INTERNATIONAL SEMINAR ON MATHEMATICS, SCIENCE, AND COMPUTER SCIENCE EDUCATION (MSCEIS) 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0155436.

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Wilson, Joseph N. "Supporting image algebra in the C++ language." In SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, edited by Edward R. Dougherty, Paul D. Gader, and Jean C. Serra. SPIE, 1993. http://dx.doi.org/10.1117/12.146669.

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Kadeishvili, Tornike. "Cohomology C∞-algebra and rational homotopy type." In Algebraic Topology - Old and New. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc85-0-16.

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D'Ariano, Giacomo Mauro, Guillaume Adenier, Andrei Yu Khrennikov, Pekka Lahti, Vladimir I. Man'ko, and Theo M. Nieuwenhuizen. "Operational Axioms for C[sup ∗]-algebra Representation of Transformations." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827336.

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Özer, Ö., and S. Omran. "Common fixed point in C*-algebra b-valued metric space." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’16. Author(s), 2016. http://dx.doi.org/10.1063/1.4964975.

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Trott, Christian, and Mark Hoemmen. "P1673: A Proposal for a C++ Standard Linear Algebra Library." In Proposed for presentation at the SIAM Conference on Parallel Processing for Scientific Computing held February 23-26, 2022 in ,. US DOE, 2022. http://dx.doi.org/10.2172/2001861.

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DEHGHAN, Y., and E. SADEGHI. "SUPPORT SETS AND SUPPORT FUNCTIONALS AND THEIR APPLICATIONS TO C*–ALGEBRA." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0096.

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Maokuan, Li, and Guan Jian. "Possibilistic C-Spherical Shell clustering algorithm based on conformai geometric algebra." In 2010 10th International Conference on Signal Processing (ICSP 2010). IEEE, 2010. http://dx.doi.org/10.1109/icosp.2010.5656991.

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Chen, Zhuliang, and Arne Storjohann. "A BLAS based C library for exact linear algebra on integer matrices." In the 2005 international symposium. New York, New York, USA: ACM Press, 2005. http://dx.doi.org/10.1145/1073884.1073899.

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Glenis, Apostolos, and Vu Pham. "A Linear Algebra Approach to C-Means Clustering Using GPUs and MPI." In 2012 16th Panhellenic Conference on Informatics (PCI). IEEE, 2012. http://dx.doi.org/10.1109/pci.2012.24.

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Reports on the topic "C*-algebra"

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Svetlana G. Shasharina. Final report: Efficient and user friendly C++ library for differential algebra. Office of Scientific and Technical Information (OSTI), September 1998. http://dx.doi.org/10.2172/761041.

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Barnett, Janet Heine. Origins of Boolean Algebra in the Logic of Classes: George Boole, John Venn and C. S. Peirce. Washington, DC: The MAA Mathematical Sciences Digital Library, July 2013. http://dx.doi.org/10.4169/loci003997.

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Yanovski, Alexander B. Poisson-Nijenhuis Structure for Generalized Zakharov-Shabat System in Pole Gauge on the Lie Algebra $\mathfrak{sl}(3,\mathbb{C})$. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-342-353.

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