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MARC 21

Formal Matrices
Tag	Description
020	$a9783319539072
082	$a512.46
099	$aOnline resource: Springer
100	$aKrylov, Piotr A.
245	$aFormal Matrices$h[EBook]$cby Piotr Krylov, Askar Tuganbaev.
260	$aCham$bSpringer International Publishing$c2017.
300	$aVIII, 156 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aAlgebra and Applications,$x1572-5553 ;$v23
505	$aIntroduction -- 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.
520	$aThis 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aTuganbaev, Askar.$eauthor.
710	$aSpringerLink (Online service)
830	$aAlgebra and Applications,$v23
856	$uhttp://dx.doi.org/10.1007/978-3-319-53907-2