Semilocal Categories and Modules with Semilocal Endomorphism Rings

• Main Author: Facchini, Alberto (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Progress in Mathematics, 331
• Subjects: Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Group theory.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; Group Theory and Generalizations.

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 publ...

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.