Chain Conditions In Commutative Rings
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Chain Conditions In Commutative Rings
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Author : Ali Benhissi
language : en
Publisher: Springer Nature
Release Date : 2022-10-07
Chain Conditions In Commutative Rings written by Ali Benhissi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-07 with Mathematics categories.
This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. The topics covered include S-Noetherian, S-Artinian, Nonnil-Noetherian, and Strongly Hopfian properties on commutative rings and their transfer to extensions such as polynomial and power series rings, and more. Though primarily intended for readers with a background in commutative rings, modules, polynomials and power series extension rings, the book can also be used as a reference guide to support graduate-level algebra courses, or as a starting point for further research.
Chain Conditions In Commutative Rings
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Author : Ali Benhissi
language : en
Publisher:
Release Date : 2022
Chain Conditions In Commutative Rings written by Ali Benhissi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. The topics covered include S-Noetherian, S-Artinian, Nonnil-Noetherian, and Strongly Hopfian properties on commutative rings and their transfer to extensions such as polynomial and power series rings, and more. Though primarily intended for readers with a background in commutative rings, modules, polynomials and power series extension rings, the book can also be used as a reference guide to support graduate-level algebra courses, or as a starting point for further research.
Rings With Chain Conditions
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Author : A. W. Chatters
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1980
Rings With Chain Conditions written by A. W. Chatters and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Noncommutative rings categories.
Commutative Ring Theory
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Author : Hideyuki Matsumura
language : en
Publisher: Cambridge University Press
Release Date : 1989-05-25
Commutative Ring Theory written by Hideyuki Matsumura and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-25 with Mathematics categories.
This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.
Commutative Rings
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Author : Irving Kaplansky
language : en
Publisher:
Release Date : 1970
Commutative Rings written by Irving Kaplansky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Commutative rings categories.
Chain Conjectures In Ring Theory
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Author : L.J. Jr. Ratliff
language : en
Publisher: Springer
Release Date : 2006-11-15
Chain Conjectures In Ring Theory written by L.J. Jr. Ratliff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Commutative Ring Theory
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Author : Cahen
language : en
Publisher: CRC Press
Release Date : 1993-10-28
Commutative Ring Theory written by Cahen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-28 with Mathematics categories.
" Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
The Theory Of Rings
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Author : Nathan Jacobson
language : en
Publisher: American Mathematical Soc.
Release Date : 1943-12-31
The Theory Of Rings written by Nathan Jacobson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1943-12-31 with Mathematics categories.
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.
Introductory Lectures On Rings And Modules
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Author : John A. Beachy
language : en
Publisher: Cambridge University Press
Release Date : 1999-04-22
Introductory Lectures On Rings And Modules written by John A. Beachy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-22 with Mathematics categories.
A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.
Algebras Rings And Modules
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-18
Algebras Rings And Modules written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-18 with Mathematics categories.
Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample,namelythequaternions,createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative”numbersystem”. During thenextfortyyearsmathematiciansintroducedotherexamplesofnoncommutative algebras, began to bring some order into them and to single out certain types of algebras for special attention. Thus, low-dimensional algebras, division algebras, and commutative algebras, were classi?ed and characterized. The ?rst complete results in the structure theory of associative algebras over the real and complex ?elds were obtained by T.Molien, E.Cartan and G.Frobenius. Modern ring theory began when J.H.Wedderburn proved his celebrated cl- si?cation theorem for ?nite dimensional semisimple algebras over arbitrary ?elds. Twenty years later, E.Artin proved a structure theorem for rings satisfying both the ascending and descending chain condition which generalized Wedderburn structure theorem. The Wedderburn-Artin theorem has since become a corn- stone of noncommutative ring theory. The purpose of this book is to introduce the subject of the structure theory of associative rings. This book is addressed to a reader who wishes to learn this topic from the beginning to research level. We have tried to write a self-contained book which is intended to be a modern textbook on the structure theory of associative rings and related structures and will be accessible for independent study.