Formal Matrices

Author:   Piotr Krylov ,  Askar Tuganbaev
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   23
ISBN:  

9783319539065


Pages:   156
Publication Date:   07 April 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Formal Matrices


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Overview

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.

Full Product Details

Author:   Piotr Krylov ,  Askar Tuganbaev
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   23
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   3.731kg
ISBN:  

9783319539065


ISBN 10:   331953906
Pages:   156
Publication Date:   07 April 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Reviews

The book is written in a friendly style. The presentation is clear and many good examples are given to illustrate the main concepts and results. The book is useful to researchers in ring theory and linear algebra. It is also suitable for graduate students. (Sorin Dascalescu, zbMATH 1367.16001, 2017)


“This book is an attempt to give a rather comprehensive treatment of formal matrix rings. … I strongly recommend this book; it should definitely be in every serious university's library.” (Leon Van Wyk, Mathematical Reviews, November, 2017) “The book is written in a friendly style. The presentation is clear and many good examples are given to illustrate the main concepts and results. The book is useful to researchers in ring theory and linear algebra. It is also suitable for graduate students.” (Sorin Dascalescu, zbMATH 1367.16001, 2017) 


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