Semilocal Categories and Modules with Semilocal Endomorphism Rings

• Κύριος συγγραφέας: Facchini, Alberto (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Progress in Mathematics, 331
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.