Semilocal Categories and Modules with Semilocal Endomorphism Rings by Alberto Fa

Description: Semilocal Categories and Modules with Semilocal Endomorphism Rings by Alberto Facchini This book collects and coherently presents the research that has been undertaken since the authors previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra. FORMAT Paperback LANGUAGE English CONDITION Brand New Back Cover This book collects and coherently presents the research that has been undertaken since the authors previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material. In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research. Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra. Table of Contents Monoids, Krull monoids, large monoids.- Basic Concepts on Rings and Modules.- Semilocal rings.- Additive categories.- Spectral Category and dual Construction.- Auslander-Bridger transpose, Auslander-Bridger modules.- Semilocal categories and their maximal ideals.- Modules of type 2. Uniserial modules.- Modules of nite type.- The Krull-Schmidt Theorem in the case two.- Serial modules of innite Goldie dimension.- Some open problems. Review "The monograph under review offers an excellent up-to-date account on the above topics. It is a very well balanced and enjoyable presentation, which may surely capture the attention of both the student looking for an interesting future research topic and the working researcher." (Septimiu Crivei, Mathematical Reviews, December, 2020)"The book is very useful for specialists working in Ring Theory and Module Theory, as well as for graduate students interested in algebra." (Constantin Nstsescu, zbMATH 1444.18002, 2020) Review Quote "The monograph under review offers an excellent up-to-date account on the above topics. It is a very well balanced and enjoyable presentation, which may surely capture the attention of both the student looking for an interesting future research topic and the working researcher." (Septimiu Crivei, Mathematical Reviews, December, 2020) "The book is very useful for specialists working in Ring Theory and Module Theory, as well as for graduate students interested in algebra." (Constantin Nastasescu, zbMATH 1444.18002, 2020) Feature Updates readers on developments in module theory that have led to current research Features a list of open research problems Broadens our understanding of the directions in which the research in this field is moving Self-contained presentation Details ISBN3030232867 Author Alberto Facchini Pages 463 Series Progress in Mathematics Language English Year 2020 ISBN-10 3030232867 ISBN-13 9783030232863 Format Paperback Series Number 331 Publication Date 2020-11-06 Publisher Springer Nature Switzerland AG Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Illustrations 8 Illustrations, black and white; XVI, 463 p. 8 illus. UK Release Date 2020-11-06 Edition Description 1st ed. 2019 Alternative 9783030232832 DEWEY 512.42 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134280283;

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