Askar Tuganbaev: Formal Matrices | Buch

Cover: 9783319539065 | Formal Matrices | Askar Tuganbaev (u. a.) | Buch | viii | Englisch

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Sprache: Englisch

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Beschreibung

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.

While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings.

Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.

Zusammenfassung

Provides the first systematic treatment of formal matrices in a single volume

Examines injective, flat, projective and hereditary modules over formal matrix rings of order 2 in great detail

Includes concrete examples that illustrate the structures of formal matrix rings

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Construction of Formal Matrix Rings of Order 2.- Modules over Formal Matrix Rings.- Formal Matrix Rings over a Given Ring.- Grothendieck and Whitehead Groups of Formal Matrix Rings.

Details

Erscheinungsjahr:	2017
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	viii 156 S.
ISBN-13:	9783319539065
ISBN-10:	331953906X
Sprache:	Englisch
Herstellernummer:	978-3-319-53906-5
Einband:	Gebunden
Autor:	Tuganbaev, Askar Krylov, Piotr
Auflage:	1st edition 2017
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 15 mm
Von/Mit:	Askar Tuganbaev (u. a.)
Erscheinungsdatum:	07.04.2017
Gewicht:	0,418 kg