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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 . Associative rings . Associative Rings and Algebras . Category Theory, Homological Algebra . Category theory (Mathematics) . Homological algebra . K-Theory . Linear and Multilinear Algebras, Matrix Theory . Matrix theory . Rings (Algebra) . Authors: author . Krylov, Piotr A. . Krylov, Piotr A. . Tuganbaev, Askar . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512.46 .

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Formal Matrices

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