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Semilocal Categories and Modules with Semilocal Endomorphism Rings: Progress in Mathematics, cartea 331

Autor Alberto Facchini
en Limba Engleză Paperback – 6 noi 2020
This book collects and coherently presents the research that has been undertaken since the author’s 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.

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Specificații

ISBN-13: 9783030232863
ISBN-10: 3030232867
Pagini: 463
Ilustrații: XVI, 463 p. 8 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.67 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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 Năstăsescu, zbMATH 1444.18002, 2020)

Textul de pe ultima copertă

This book collects and coherently presents the research that has been undertaken since the author’s 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.


Caracteristici

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