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Formal Matrices [electronic resource] / by Piotr Krylov, Askar Tuganbaev.

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dc.contributor.author Krylov, Piotr. author.
dc.contributor.author Tuganbaev, Askar. author.
dc.contributor.author SpringerLink (Online service)
dc.date.accessioned 2017-12-02T13:08:43Z
dc.date.available 2017-12-02T13:08:43Z
dc.date.created 2017.
dc.date.issued 2017
dc.identifier.isbn 9783319539072
dc.identifier.uri http://dspace.conacyt.gov.py/xmlui/handle/123456789/21066
dc.description VIII, 156 p.
dc.description.abstract 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.
dc.description.tableofcontents 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.
dc.language eng
dc.publisher Cham : Springer International Publishing : Imprint: Springer, 2017.
dc.relation.ispartofseries Springer eBooks
dc.relation.ispartofseries Algebra and Applications, 1572-5553 ; 23
dc.relation.ispartofseries Algebra and Applications, 1572-5553 ; 23
dc.relation.uri http://cicco.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-53907-2
dc.subject Mathematics.
dc.subject Associative rings.
dc.subject Rings (Algebra).
dc.subject Category theory (Mathematics).
dc.subject Homological algebra.
dc.subject K-theory.
dc.subject Matrix theory.
dc.subject Algebra.
dc.subject Mathematics.
dc.subject Associative Rings and Algebras.
dc.subject Category Theory, Homological Algebra.
dc.subject K-Theory.
dc.subject Linear and Multilinear Algebras, Matrix Theory.
dc.subject.ddc 512.46 23
dc.subject.lcc QA251.5
dc.subject.other Mathematics and Statistics (Springer-11649)
dc.title Formal Matrices [electronic resource] / by Piotr Krylov, Askar Tuganbaev.
dc.type text
dc.identifier.doi 10.1007/978-3-319-53907-2
dc.identifier.bib 978-3-319-53907-2
dc.format.rdamedia computer
dc.format.rdacarrier online resource
dc.format.rda text file PDF


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