Overview
- 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
Part of the book series: Progress in Mathematics (PM, volume 331)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“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)
Authors and Affiliations
Bibliographic Information
Book Title: Semilocal Categories and Modules with Semilocal Endomorphism Rings
Authors: Alberto Facchini
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-030-23284-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-23283-2Published: 06 November 2019
Softcover ISBN: 978-3-030-23286-3Published: 06 November 2020
eBook ISBN: 978-3-030-23284-9Published: 23 October 2019
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XVI, 463
Number of Illustrations: 8 b/w illustrations
Topics: Associative Rings and Algebras, Category Theory, Homological Algebra, Group Theory and Generalizations