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Author : A. V. Jategaonkar
Publisher : Springer
ISBN 13 : 3540362584
Total Pages : 150 pages
Book Rating : 4.5/5 (43 download)
Download or read book Left Principal Ideal Rings written by A. V. Jategaonkar and published by Springer. This book was released on 2006-11-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Craig Huneke
Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.5/5 (216 download)
Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Author : Robert Gilmer
Publisher : University of Chicago Press
ISBN 13 : 0226293920
Total Pages : 392 pages
Book Rating : 4.2/5 (262 download)
Download or read book Commutative Semigroup Rings written by Robert Gilmer and published by University of Chicago Press. This book was released on 1984-03-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.
Author : Minjia Shi
Publisher : Academic Press
ISBN 13 : 0128133910
Total Pages : 320 pages
Book Rating : 4.1/5 (281 download)
Download or read book Codes and Rings written by Minjia Shi and published by Academic Press. This book was released on 2017-06-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. - Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature - Discusses duality formulas in the context of Frobenius rings - Reviews decomposition of quasi-cyclic codes under ring action - Evaluates the ideal and modular structure of skew-cyclic codes - Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction
Author : Joseph Gallian
Publisher : Cengage Learning
ISBN 13 : 9781305657960
Total Pages : 0 pages
Book Rating : 4.6/5 (579 download)
Download or read book Contemporary Abstract Algebra written by Joseph Gallian and published by Cengage Learning. This book was released on 2016-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: CONTEMPORARY ABSTRACT ALGEBRA, NINTH EDITION provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject a current feel which makes the content interesting and relevant for students. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Author : Michael F. Atiyah
Publisher : CRC Press
ISBN 13 : 0429973268
Total Pages : 140 pages
Book Rating : 4.4/5 (299 download)
Download or read book Introduction To Commutative Algebra written by Michael F. Atiyah and published by CRC Press. This book was released on 2018-03-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.
Author : P. M. Cohn
Publisher : Cambridge University Press
ISBN 13 : 9780521853378
Total Pages : 594 pages
Book Rating : 4.8/5 (533 download)
Download or read book Free Ideal Rings and Localization in General Rings written by P. M. Cohn and published by Cambridge University Press. This book was released on 2006-06-08 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention.
Author : P. M. Cohn
Publisher : Cambridge University Press
ISBN 13 : 1139454994
Total Pages : 21 pages
Book Rating : 4.1/5 (394 download)
Download or read book Free Ideal Rings and Localization in General Rings written by P. M. Cohn and published by Cambridge University Press. This book was released on 2006-06-08 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.
Author : Thomas W. Hungerford
Publisher : Springer Science & Business Media
ISBN 13 : 9780387905181
Total Pages : 536 pages
Book Rating : 4.9/5 (51 download)
Download or read book Algebra written by Thomas W. Hungerford and published by Springer Science & Business Media. This book was released on 2003-02-14 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises.
Author : Nathan Jacobson
Publisher : American Mathematical Soc.
ISBN 13 : 0821815024
Total Pages : 160 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Theory of Rings written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
Author : Michiel Hazewinkel
Publisher : CRC Press
ISBN 13 : 1482245051
Total Pages : 384 pages
Book Rating : 4.4/5 (822 download)
Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel and published by CRC Press. This book was released on 2016-04-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu
Author : Carl Faith
Publisher : Cambridge University Press
ISBN 13 : 9780521277389
Total Pages : 180 pages
Book Rating : 4.2/5 (773 download)
Download or read book FPF Ring Theory written by Carl Faith and published by Cambridge University Press. This book was released on 1984-04-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work includes all known theorems on the subject of noncommutative FPF rings.
Author : A.A. Tuganbaev
Publisher : Springer Science & Business Media
ISBN 13 : 9401150869
Total Pages : 368 pages
Book Rating : 4.4/5 (11 download)
Download or read book Semidistributive Modules and Rings written by A.A. Tuganbaev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A module M is called distributive if the lattice Lat(M) of all its submodules is distributive, i.e., Fn(G + H) = FnG + FnH for all submodules F,G, and H of the module M. A module M is called uniserial if all its submodules are comparable with respect to inclusion, i.e., the lattice Lat(M) is a chain. Any direct sum of distributive (resp. uniserial) modules is called a semidistributive (resp. serial) module. The class of distributive (resp. semidistributive) modules properly cont.ains the class ofall uniserial (resp. serial) modules. In particular, all simple (resp. semisimple) modules are distributive (resp. semidistributive). All strongly regular rings (for example, all factor rings of direct products of division rings and all commutative regular rings) are distributive; all valuation rings in division rings and all commutative Dedekind rings (e.g., rings of integral algebraic numbers or commutative principal ideal rings) are distributive. A module is called a Bezout module or a locally cyclic module ifevery finitely generated submodule is cyclic. If all maximal right ideals of a ring A are ideals (e.g., if A is commutative), then all Bezout A-modules are distributive.
Author : Carl Faith
Publisher : Springer Science & Business Media
ISBN 13 : 3642653219
Total Pages : 319 pages
Book Rating : 4.6/5 (426 download)
Download or read book Algebra II Ring Theory written by Carl Faith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michiel Hazewinkel
Publisher : CRC Press
ISBN 13 : 1351869868
Total Pages : 303 pages
Book Rating : 4.3/5 (518 download)
Download or read book Algebras, Rings and Modules, Volume 2 written by Michiel Hazewinkel and published by CRC Press. This book was released on 2017-04-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.
Author : Eric Jespers
Publisher : Springer Science & Business Media
ISBN 13 : 1402058101
Total Pages : 364 pages
Book Rating : 4.4/5 (2 download)
Download or read book Noetherian Semigroup Algebras written by Eric Jespers and published by Springer Science & Business Media. This book was released on 2007-03-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These results are applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have recently been intensively studied. The focus is on the interplay between combinatorics and algebraic structure. Mathematical physicists will find this work interesting for its attention to applications of the Yang-Baxter equation.
Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808498
Total Pages : 284 pages
Book Rating : 4.8/5 (84 download)
Download or read book Trends in Ring Theory written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 1998 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ring Theory Conference, held a the University of Miskolc, Hungary, successfully accomplished its two goals: to reflect contemporary trends in the subject area; and to offer a meeting place for a large number of Eastern European algebraists and their colleagues from around the world. Particular emphasis was placed on recent developments in the following four areas: representation theory, group algebras, PI algebras and general ring theory. This book presents 13 of the invited lectures.
