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Catalogue Information
Field name
Details
Dewey Class
512.46
Title
Formal Matrices ([EBook]) / by Piotr Krylov, Askar Tuganbaev.
Author
Krylov, Piotr A.
Added Personal Name
Tuganbaev, Askar
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2017.
Physical Details
VIII, 156 pages : online resource.
Series
Algebra and Applications
1572-5553 ; ; 23
ISBN
9783319539072
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-53907-2
Links to Related Works
Subject References:
Algebra
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Associative rings
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Associative Rings and Algebras
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Category Theory, Homological Algebra
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Category theory (Mathematics)
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Homological algebra
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K-Theory
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Linear and Multilinear Algebras, Matrix Theory
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Matrix theory
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Rings (Algebra)
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Authors:
author
.
Krylov, Piotr A.
.
Krylov, Piotr A.
.
Tuganbaev, Askar
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Corporate Authors:
SpringerLink (Online service)
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Series:
Algebra and Applications
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Classification:
512.46
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