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Dissertations / Theses on the topic 'Derivation in certain rings'

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Published: 6 September 2023

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1

Montgomery, Martin. "Dimension of certain cleft binomial rings /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874501&sid=7&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.
Typescript. Includes vita and abstract. Includes bibliographical references (leaf 77). Also available for download via the World Wide Web; free to University of Oregon users.
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2

Green, Ellen Yvonne. "Characterizing the strong two-generators of certain Noetherian domains." CSUSB ScholarWorks, 1997. https://scholarworks.lib.csusb.edu/etd-project/1539.

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3

Nyobe, 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.

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The main goal of this thesis is to present the theory of Locally Nilpotent Derivations and to show how it can be used to investigate the structure of the polynomial ring in two variables k[X;Y] over a field k of characteristic zero. The thesis gives a com- plete proof of Rentschler's Theorem, which describes all locally nilpotent derivations of k[X;Y]. Then we present Rentschler's proof of Jung's Theorem, which partially describes the group of automorphisms of k[X;Y]. Finally, we present the proof of the Structure Theorem for the group of automorphisms of k[X;Y].
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4

Gontcharov, Aleksandr. "On the Conjugacy of Maximal Toral Subalgebras of Certain Infinite-Dimensional Lie Algebras." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/26086.

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We will extend the conjugacy problem of maximal toral subalgebras for Lie algebras of the form $\g{g} \otimes_k R$ by considering $R=k[t,t^{-1}]$ and $R=k[t,t^{-1},(t-1)^{-1}]$, where $k$ is an algebraically closed field of characteristic zero and $\g{g}$ is a direct limit Lie algebra. In the process, we study properties of infinite matrices with entries in a B\'zout domain and we also look at how our conjugacy results extend to universal central extensions of the suitable direct limit Lie algebras.
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5

Oliveira, Ana Karine Rodrigues de. "Idealizadores tangenciais e derivações de Anéis de Stanley-Reisner." Universidade Federal da Paraí­ba, 2012. http://tede.biblioteca.ufpb.br:8080/handle/tede/7365.

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The present dissertation furnishes a detailed study about modules of logarithmic derivations, here dubbed tangential idealizers, and some of their main features. Initially, several comparisons between such modules are investigated starting from sufficiently related ideals, motivated by a previous study due to Kaplansky as well as by their close relationship with the classical theory of differential ideals of Seidenberg. We then obtain the first central result, which describes a primary decomposition of the tangential idealizer of an ideal without embedded primary component. Finally, in the second main result, we explore the structure of the derivation module for the class of Stanley-Reisner rings, thus corresponding to tangential idealizers of monomial ideals. An application of such a result is an affirmative answer for the homological Zariski-Lipman conjecture for the present class of rings.
A presente dissertação fornece um estudo detalhado sobre módulos de derivações logarítmicas, aqui denominados idealizadores tangenciais, bem como algumas de suas principais características. Inicialmente, várias comparações entre tais módulos são investigadas, a partir de ideais suficientemente relacionados, motivadas por um estudo prévio de Kaplansky e por sua estreita relação com a clássica teoria dos ideais diferenciais de Seidenberg. Em seguida obtém-se o primeiro resultado central, que descreve uma decomposição primária do idealizador tangencial de um ideal sem componente primária imersa. Finalmente, no segundo resultado principal, é explorada a estrutura do módulo de derivações para a classe de anéis de Stanley- Reisner, correspondendo portanto a idealizadores tangenciais de ideais monomiais. Uma aplicação de tal resultado é a resposta afirmativa para a conjectura homológica de Zariski-Lipman para a presente classe de anéis.
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6

Yadav, Vishal Kumar. "Identities related to derivations in certain rings." Thesis, 2017. http://localhost:8080/xmlui/handle/12345678/7330.

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7

Yadav, Vishal Kumar. "Identities related to derivations in certain rings." Thesis, 2017. http://localhost:8080/xmlui/handle/12345678/7329.

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8

Lin, Huan-Jiun, and 林桓駿. "Linear codes using skew polynomial rings of derivation type." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/23338149421494682845.

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碩士
國立彰化師範大學
數學系所
102
We characterize the center and ideals of skew polynomial rings R[t,d],where R is a d-simple ring and d is a derivation of R.With these,we construct linear codes from the quotient rings of R[t,d] when R is a finite d-simple ring.Finally,we describe the structure of finite communtative d-simple rings.
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9

Loper, Kenneth Alan. "On rings without a certain divisibility property." 1985. http://catalog.hathitrust.org/api/volumes/oclc/47885131.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1985.
Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaf 121).
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10

Udar, Denesh. "On group rings with certain restricted conditions." Thesis, 2016. http://localhost:8080/xmlui/handle/12345678/7117.

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11

XUE, WEN-KUI, and 薛文魁. "Structure of a certain class of rings with involution." Thesis, 1989. http://ndltd.ncl.edu.tw/handle/95579520082166435523.

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12

Khatkar, Meenu. "Units, idempotents, and ideals in certain algebras over commutative rings." Thesis, 2018. http://eprint.iitd.ac.in:80//handle/2074/7991.

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13

Samanta, Dhabalendu. "Structure of certain nonassociative rings with commutators in the NICLEI." Thesis, 1999. http://localhost:8080/xmlui/handle/12345678/4788.

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14

Shardha, S. "On certain non-associative rings and algebras with commutators in the nuclei." Thesis, 1986. http://localhost:8080/xmlui/handle/12345678/4720.

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15

(9179834), Monte J. Cooper. "BOUNDING THE DEGREES OF THE DEFINING EQUATIONSOF REES RINGS FOR CERTAIN DETERMINANTAL AND PFAFFIAN IDEALS." Thesis, 2020.

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We consider ideals of minors of a matrix, ideals of minors of a symmetric matrix, and ideals of Pfaffians of an alternating matrix. Assuming these ideals are of generic height, we characterize the condition $G_{s}$ for these ideals in terms of the heights of smaller ideals of minors or Pfaffians of the same matrix. We additionally obtain bounds on the generation and concentration degrees of the defining equations of Rees rings for a subclass of such ideals via specialization of the Rees rings in the generic case. We do this by proving that, given sufficient height conditions on ideals of minors or Pfaffians of the matrix, the specialization of a resolution of a graded component of the Rees ring in the generic case is an approximate resolution of the same component of the Rees ring in question. We end the paper by giving some examples of explicit generation and concentration degree bounds.
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