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Semilocal categories and modules wit...

Facchini, Alberto.

Semilocal categories and modules with semilocal endomorphism rings

Record Type:	Electronic resources : Monograph/item
Title/Author:	Semilocal categories and modules with semilocal endomorphism ringsby Alberto Facchini.
Author:	Facchini, Alberto.
Published:	Cham :Springer International Publishing :2019.
Description:	xvi, 463 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Modules (Algebra)
Online resource:	https://doi.org/10.1007/978-3-030-23284-9
ISBN:	9783030232849$q(electronic bk.)

Semilocal categories and modules with semilocal endomorphism rings
Facchini, Alberto.

Semilocal categories and modules with semilocal endomorphism rings[electronic resource] /by Alberto Facchini. - Cham :Springer International Publishing :2019. - xvi, 463 p. :ill., digital ;24 cm. - Progress in mathematics,v.3310743-1643 ;. - Progress in mathematics ;v.295..

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.

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.

ISBN: 9783030232849$q(electronic bk.)

Standard No.: 10.1007/978-3-030-23284-9doiSubjects--Topical Terms:

190875
Modules (Algebra)

LC Class. No.: QA247 / .F333 2019

Dewey Class. No.: 512.74

Semilocal categories and modules with semilocal endomorphism rings
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490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.331
505 0 $a 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.
520 $a 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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