LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.46
Title	Semilocal Categories and Modules with Semilocal Endomorphism Rings ([EBook]) / by Alberto Facchini.
Author	Facchini, Alberto
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing , 2019.
Physical Details	XVI, 463 pages : 8 illus. : online resource.
Series	Progress in mathematics ; 331
ISBN	9783030232849
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-23284-9
Links to Related Works	Subject References: Associative rings . Associative Rings and Algebras . Category Theory, Homological Algebra . Category theory (Mathematics) . Group theory . Group Theory and Generalizations . Homological algebra . Rings (Algebra) . Authors: author . Facchini, Alberto . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 512.46 . 512.46 (DDC 23) .

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Semilocal Categories and Modules with Semilocal Endomorphism Rings

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