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＜E-Book＞
Semilocal Categories and Modules with Semilocal Endomorphism Rings / by Alberto Facchini
(Progress in Mathematics. ISSN:2296505X ; 331)

Edition	1st ed. 2019.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2019
Size	XVI, 463 p. 8 illus : online resource
Authors	*Facchini, Alberto author SpringerLink (Online service)
Subjects	LCSH:Associative rings LCSH:Associative algebras LCSH:Algebra, Homological LCSH:Group theory FREE:Associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:Group Theory and Generalizations
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-23284-9

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