Dissertations / Theses on the topic 'Locally nilpotent'
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Wang, Zhiqing. "Locally nilpotent derivations of polynomial rings." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0018/NQ48119.pdf.
Full textMilian, Dagmara. "Locally nilpotent 5-Engel p-groups." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.561122.
Full textChitayat, Michael. "Locally Nilpotent Derivations and Their Quasi-Extensions." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35072.
Full textKhoury, Joseph. "Locally nilpotent derivations and their rings of constants." Thesis, University of Ottawa (Canada), 2001. http://hdl.handle.net/10393/9028.
Full textEL, Houari Hassan. "Algorithms for locally nilpotent derivations in dimension two and three." Limoges, 2007. https://aurore.unilim.fr/theses/nxfile/default/7d0e7c9d-8bec-4ccf-af81-92abce4349cb/blobholder:0/2007LIMO4049.pdf.
Full textDerivations, especially locally nilpotent ones, over polynomial rings are objects of great importance in many fields of pure and applied mathematics. Nowadays, locally nilpotent derivations have made remarkable progress and became an important topic in understanding affine algebraic geometry and commutative algebra. This is due to the fact that some classic problems in these areas, such as the Jacobian conjecture, the Linearization problem and the Cancellation problem, can be reformulated in terms of locally nilpotent derivations. This thesis is about the algorithmic study of problems linked to locally nilpotent derivations and their applications to the study of polynomial automorphisms of the affine space. Its aim is to present, on one hand, some problems in which locally nilpotent derivations play a crucial role, namely, the coordinate problem and the parametrization problem. On the other hand, give some algorithms concerning locally nilpotent derivations, which may contribute in understanding locally nilpotent derivations in three dimensional case, namely, rang and triangulability algorithms of locally nilpotent derivations
Nur, Alexandra. "Locally Nilpotent Derivations and the Cancellation Problem in Affine Algebraic Geometry." Thesis, University of Ottawa (Canada), 2011. http://hdl.handle.net/10393/28926.
Full textNyobe, Likeng Samuel Aristide. "Locally Nilpotent Derivations on Polynomial Rings in Two Variables over a Field of Characteristic Zero." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/35906.
Full textMerighe, Liliam Carsava. "Uma introdução às derivações localmente nilpotentes com uma aplicação ao 14º problema de Hilbert." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-05082015-102547/.
Full textThe main objective of this thesis is to study a counterexample to the Hilberts Fourteenth Problem in dimension n = 5, which was presented by Arno van den Essen ([6]) in 2006 and that is based on a counterexample of D. Daigle and G. Freudenburg ([4]). For these purpose, we study the fundamental concepts of the theory of derivations and the basic principles of locally nilpotent derivations and their corollaries. Among these principles, Principle 13 ensures that if B is a k-algebra polynomial, say B = k[x1; ..., xn], (where k is a field of characteristic zero) and D is a locally nilpotent derivation on B, then its kernel A = ker D satisfies A = B ∩ Frac(A). Once we have proved that A is not finitely generated over k, we find the expected counterexample. In addition, in the appendix of this work is given a proof for the Hilberts Fourteenth Problemin dimension n = 1.
Abreu, Kelyane Barboza de. "Derivações localmente nilpotentes e os teoremas de Rentschler e Jung." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7438.
Full textCoordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
The main goal of this work is to furnish a proof of the well-known Rentschler s Theorem, which describes the structure of the locally nilpotent derivations on the polynomial ring in two indeterminates (over a field of characteristic zero), up to conjugation by tame automorphisms. As a central application of this result, we prove Jung s Theorem, concerning the generators of the group of automorphisms in two variables. Finally, some examples are discussed, illustrating connections to other important topics.
O principal objetivo deste trabalho é fornecer uma demonstração do bem-conhecido Teorema de Rentschler, que descreve a estrutura das derivações localmente nilpotentes sobre o anel de polinômios em duas variáveis (sobre um corpo de característica zero), a menos de conjugação por automorfismos tame . Como aplicação central deste resultado, provamos o Teorema de Jung, sobre os geradores do grupo de automorfismos em duas variáveis. Finalmente, alguns exemplos são discutidos, ilustrando conexões com outros tópicos importantes.
丸橋, 広和. "単連結べき零Lie群のパラメータ剛性をもつ作用." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188455.
Full textHedén, Isac. "Ga-actions on Complex Affine Threefolds." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-203708.
Full textDerakhshan, Jamshid. "Problems on nilpotency and local finiteness in infinite groups and infinite dimensional algebras." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.362007.
Full textNeves, Marcus Vinícius de Andrade. "Grupos localmente nilpotentes e o hipercentro local de um grupo." reponame:Repositório Institucional da UnB, 2008. http://repositorio.unb.br/handle/10482/6589.
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A finalidade da presente dissertação é a apresentação de um trabalho recente [1] intitulado On the local hypercenter of a group, de autoria de José Ivan Silva Ramos e Rudolf Maier. Nele o hipercentro local K(G) de um grupo G é introduzido e suas propriedades básicas são estudadas. Particularmente obtém-se extensões de teoremas clássicos de Baer, Mal'cev e McLain sobre grupos localmente nilpotentes. Além disso, abordamos também ligações entre K(G), os subgrupos abnormais e os subgrupos maximais localmente nilpotentes de G. ____________________________________________________________________________ ABSTRACT
The purpose of this dissertation is the presentation of a recent article [1] entitled On the local hypercenter of a group, by Jose Ivan Silva Ramos and Rudolf Maier. In that work the local hypercenter K(G) of a group G is introduced and its basic properties are studied. Particularly extensions of classical theorems of Baer, Mal'cev and McLain on locally nilpotent groups are obtained. We also discuss the links between K(G), abnormal subgroups and the maximal locally nilpotent subgroups of G.
Monday, Casey R. "A Characterization of Serre Classes of Reflexive Modules Over a Complete Local Noetherian Ring." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/13.
Full textFrolík, Stanislav. "Geometrická teorie řízení na nilpotentních Lieových grupách." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-399583.
Full textHassani, Ali. "ÉQUATION DES ONDES SUR LES ESPACES SYMÉTRIQUES RIEMANNIENS DE TYPE NON COMPACT." Phd thesis, Université de Nanterre - Paris X, 2011. http://tel.archives-ouvertes.fr/tel-00669082.
Full textLee, Shao-Chi, and 李詔琦. "On nilpotent elements and locally nilpotent ideals." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/28329151521401689939.
Full text國立臺灣大學
數學研究所
104
Motivated by 2-primal rings, NI rings and their associated topological structures, we consider a new class of rings, NL rings, in which the nilpotent elements form a locally nilpotent ideal. We first introduce some basic properties of NL rings, and then study the relationships between NL rings and locally strong prime ideals. Lastly, we give the topological structures induced by NL rings.
Ju, Ling whe, and 朱玲慧. "Locally Nilpotent Radicals of Nonassociative Algebras." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/41839144695721425453.
Full textFrancalanci, Giulio. "Nilpotence relations in products of groups." Doctoral thesis, 2020. http://hdl.handle.net/2158/1197496.
Full textOriglia, Marcos Miguel. "Estructuras localmente conformes Kähler y localmente conformes simplécticas en solvariedades compacta." Doctoral thesis, 2017. http://hdl.handle.net/11086/5837.
Full textEn esta tesis estudiamos las estructuras localmente conformes Kähler (LCK) y localmente conformes simplécticas (LCS) invariantes a izquierda en grupos de Lie, o equivalentemente tales estructuras en álgebras de Lie. Luego se buscan retículos (subgrupos discretos co-compactos) en dichos grupos. De esta manera obtenemos estructuras LCK o LCS en las solvariedades compactas (cociente de un grupo de Lie por un retículo). Específicamente estudiamos las estructuras LCK en solvariedades con estructuras complejas abelianas. Luego describimos explícitamente la estructura de las álgebras de Lie que admiten estructuras de Vaisman. También determinamos los grupos de Lie casi abelianos que admiten estructuras LCK o LCS y además analizamos la existencia de retículos en ellos. Finalmente desarrollamos un método para construir de manera sistemática ejemplos de álgebras de Lie equipadas con estructuras LCK o LCS a partir de un álgebra de Lie que ya admite tales estructuras y una representación compatible.
In this thesis we study left invariant locally conformal Kähler (LCK) structures and locally conformal symplectic structures (LCS) on Lie groups, or equivalently such structures on Lie algebras. Then we analize the existence of lattices (co-compact discrete subgroups) on these Lie groups. Therefore, we obtain LCK or LCS structures on compact solvmanifolds (quotients of a Lie group by a lattice). Specifically we study LCK structures on solvmanifold where the complex structure is abelian. Then we describe the structure of a Lie algebra admitting a Vaisman structure. On the other hand we determine the almost abelian Lie groups equipped with a LCK or LCS structures, and we also analize the existence of lattices on these groups. Finally we construct a method to produce examples of Lie algebras admitting LCK or LCS structures beginning with a Lie algebra with these structures and a compatible representation.