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Advances in Ring Theory

Posted By: AvaxGenius
Date: 1 Feb 2024 05:31:12
Advances in Ring Theory

Advances in Ring Theory by Dinh Huynh, Sergio R. López-Permouth
English | PDF (True) | 2010 | 345 Pages | ISBN : 3034602855 | 2.6 MB

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.
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Prime Divisors and Noncommutative Valuation Theory

Posted By: AvaxGenius
Date: 25 Sep 2023 11:10:35
Prime Divisors and Noncommutative Valuation Theory

Prime Divisors and Noncommutative Valuation Theory by Hidetoshi Marubayashi , Fred Van Oystaeyen
English | PDF | 2012 | 225 Pages | ISBN : 3642311512 | 2.1 MB

Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly applied to finite dimensional skewfields. Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture.
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Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Posted By: AvaxGenius
Date: 9 Jul 2023 03:46:37
Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Algebraic, Number Theoretic, and Topological Aspects of Ring Theory by Jean-Luc Chabert, Marco Fontana, Sophie Frisch, Sarah Glaz, Keith Johnson
English | PDF EPUB (True) | 2023 | 473 Pages | ISBN : 3031288467 | 34.1 MB

This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universität Graz, Graz, Austria, July 19 –24, 2021, and papers intended for presentation at the Fourth International Meeting on Integer-valued Polynomials and Related Topics, CIRM, Luminy, France, which was cancelled due to the pandemic. The collection ranges widely over the algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Two areas of particular note are topological methods in ring theory, and integer valued polynomials. The book is dedicated to the memory of Paul-Jean Cahen, a coauthor or research collaborator with some of the conference participants and a friend to many of the others. This collection contains a memorial article about Paul-Jean Cahen, written by his longtime research collaborator and coauthor Jean-Luc Chabert.
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Algebraic Coding Theory Over Finite Commutative Rings (Repost)

Posted By: AvaxGenius
Date: 21 Mar 2023 12:31:12
Algebraic Coding Theory Over Finite Commutative Rings (Repost)

Algebraic Coding Theory Over Finite Commutative Rings by Steven T. Dougherty
English | PDF | 2017 | 109 Pages | ISBN : 3319598058 | 1.5 MB

This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject.
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Noetherian Semigroup Algebras

Posted By: AvaxGenius
Date: 27 Jan 2023 16:58:09
Noetherian Semigroup Algebras

Noetherian Semigroup Algebras by Eric Jespers , Jan Okniński
English | PDF | 2007 | 356 Pages | ISBN : 1402058098 | 3.4 MB

The ?rst aim of this work is to present the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of certain interesting and important concrete classes of algebras that arise in a variety of areas and have been recently intensively studied. One of the main motivations for this project has been the growing int- est in the class of semigroup algebras (and their deformations) and in the application of semigroup theoretical methods.
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Algebra, Revised Third Edition

Posted By: AvaxGenius
Date: 1 Aug 2022 13:46:58
Algebra, Revised Third Edition

Algebra, Revised Third Edition by Serge Lang
English | PDF | 2002 | 923 Pages | ISBN : 038795385X | 66.1 MB

This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.
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Lattice-ordered Rings and Modules

Posted By: AvaxGenius
Date: 16 Apr 2022 19:42:44
Lattice-ordered Rings and Modules

Lattice-ordered Rings and Modules by Stuart A. Steinberg
English | PDF | 2010 | 639 Pages | ISBN : 1441917209 | 8.2 MB

This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included.
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Exercises in Modules and Rings

Posted By: AvaxGenius
Date: 21 Mar 2022 04:47:07
Exercises in Modules and Rings

Exercises in Modules and Rings by T. Y. Lam
English | PDF | 2007 | 427 Pages | ISBN : 0387988505 | 37.5 MB

This Problem Book offers a compendium of 639 exercises of varying degrees of difficulty in the subject of modules and rings at the graduate level. The material covered includes projective, injective, and flat modules, homological and uniform dimensions, noncommutative localizations and Goldie’s theorems, maximal rings of quotients, Frobenius and quasi-Frobenius rings, as well as Morita’s classical theory of category dualities and equivalences.
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