Fpf Ring Theory

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Fpf Ring Theory

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Author : Carl Faith
language : en
Publisher: Cambridge University Press
Release Date : 1984-04-26

Fpf Ring Theory written by Carl Faith 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 1984-04-26 with Mathematics categories.

This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right R-modules and its relationship to faithful modules. This carries out the program, explicit of inherent, in the work of G Azumaya, H. Bass, R. Dedekind, S. Endo, I. Kaplansky, K. Morita, T. Nakayama, R. Thrall, and more recently, W. Brandal, R. Pierce, T. Shores, R. and S. Wiegand and P. Vamos, among others. FPF rings include quasi-Frobenius rings (and thus finite rings over fields), pseudo-Frobenius (PF) rings (and thus injective cogenerator rings), bounded Dedekind prime rings and the following commutative rings; self-injective rings, Prufer rings, all rings over which every finitely generated module decomposes into a direct sum of cyclic modules (=FGC rings), and hence almost maximal valuation rings. Any product (finite or infinite) of commutative or self-basic PFP rings is FPF. A number of important classes of FPF rings are completely characterised including semiprime Neotherian, semiperfect Neotherian, perfect nonsingular prime, regular and self-injective rings. Finite group rings over PF or commutative injective rings are FPF. This work is the culmination of a decade of research and writing by the authors and includes all known theorems on the subject of noncommutative FPF rings. This book will be of interest to professional mathematicians, especially those with an interest in noncommutative ring theory and module theory.

Ring Theory V1

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Author :
language : en
Publisher: Academic Press
Release Date : 1988-06-01

Ring Theory V1 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06-01 with Mathematics categories.

Ring Theory V1

Fpf Ring Theory

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Author : Carl Faith
language : en
Publisher: Cambridge University Press
Release Date : 1984-04-26

Fpf Ring Theory written by Carl Faith 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 1984-04-26 with Mathematics categories.

This work includes all known theorems on the subject of noncommutative FPF rings.

Algebra Ii Ring Theory

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Author : Carl Faith
language : en
Publisher: Springer
Release Date : 1976-09-01

Algebra Ii Ring Theory written by Carl Faith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-09-01 with Mathematics categories.

Ring Theory V2

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Author :
language : en
Publisher: Academic Press
Release Date : 1988-07-01

Ring Theory V2 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-01 with Mathematics categories.

Ring Theory V2

Ring Theory 83

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Author : Louis H. Rowen
language : en
Publisher: Academic Press
Release Date : 2012-12-02

Ring Theory 83 written by Louis H. Rowen and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.

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

Proceedings Of The Symposium On Ring Theory

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Author :
language : en
Publisher:
Release Date : 1993

Proceedings Of The Symposium On Ring Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Rings (Algebra) categories.

Injective Modules And Injective Quotient Rings

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Author : Faith
language : en
Publisher: CRC Press
Release Date : 2019-08-21

Injective Modules And Injective Quotient Rings written by Faith and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-21 with Mathematics categories.

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)

Surveys In Combinatorics 1999

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Author : John Douglas Lamb
language : en
Publisher: Cambridge University Press
Release Date : 1999

Surveys In Combinatorics 1999 written by John Douglas Lamb 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 with Combinatorial analysis categories.

Up-to-date resource on combinatorics for graduate students and researchers.

Symmetries And Integrability Of Difference Equations

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Author : Peter A. Clarkson
language : en
Publisher: Cambridge University Press
Release Date : 1999-02-04

Symmetries And Integrability Of Difference Equations written by Peter A. Clarkson 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 1999-02-04 with Mathematics categories.

This volume comprises state-of-the-art articles in discrete integrable systems.