Formal matrices
"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…
Read More ↓Title Statements
- Full title :Formal matrices / Piotr Krylov, Askar Tuganbaev.
Summary
"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."--Publisher's website.
Read More ↓Edition Statements
- Publication Date:©2017
Publication Statements
- Publisher(s):Springer Nature, an imprint of Springer International Publishing AG
- Place of Publication:Cham, Switzerland
- Language:eng
- Publication Date:©2017
The Physical Object
- Description:viii, 156 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:9783319539065, 331953906X, 9783319539072, 3319539078
- oclc:ocn969829551
- LC Classification:QA188
- Dewey Decimal:512.9434
Table of Contents
Introduction -- Formal Matrix Rings -- Modules over Formal Matrix Rings -- Formal Matrix Rings over a Given Ring -- Grothendieck and Whitehead Groups of Formal Matrix Rings -- References -- Index.
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