Ring Theory V1 PDF Download

Author:
Publisher: Academic Press
ISBN: 0080874460
Category : Mathematics
Languages : en
Pages : 569

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Book Description
Ring Theory V1

Author: S.K. Jain
Publisher: Springer Science & Business Media
ISBN: 1461219787
Category : Mathematics
Languages : en
Pages : 330

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Book Description

Author: Donald S. Passman
Publisher: American Mathematical Soc.
ISBN: 9780821869383
Category : Mathematics
Languages : en
Pages : 324

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Book Description
Projective modules: Modules and homomorphisms Projective modules Completely reducible modules Wedderburn rings Artinian rings Hereditary rings Dedekind domains Projective dimension Tensor products Local rings Polynomial rings: Skew polynomial rings Grothendieck groups Graded rings and modules Induced modules Syzygy theorem Patching theorem Serre conjecture Big projectives Generic flatness Nullstellensatz Injective modules: Injective modules Injective dimension Essential extensions Maximal ring of quotients Classical ring of quotients Goldie rings Uniform dimension Uniform injective modules Reduced rank Index

Author:
Publisher: Academic Press
ISBN: 0080874002
Category : Mathematics
Languages : en
Pages : 387

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Book Description
Polynomial Identities in Ring Theory

Author: T.Y. Lam
Publisher: Springer Science & Business Media
ISBN: 1475739877
Category : Mathematics
Languages : en
Pages : 299

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Book Description
Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

Author:
Publisher: Academic Press
ISBN: 008087357X
Category : Mathematics
Languages : en
Pages : 333

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Book Description
Ring Theory

Author: Freddy M.J. van Oystaeyen
Publisher:
ISBN: 9783662164723
Category :
Languages : en
Pages : 244

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Book Description

Author: Grigore Calugareanu
Publisher: Springer Science & Business Media
ISBN: 9401590044
Category : Mathematics
Languages : en
Pages : 193

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Book Description
Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.

Author: S. K. Jain
Publisher:
ISBN: 9781461219798
Category :
Languages : en
Pages : 348

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Book Description

Author: Louis H. Rowen
Publisher: Academic Press
ISBN: 0080925480
Category : Mathematics
Languages : en
Pages : 653

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Book Description
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS