000 03409nam a22005415i 4500
001 978-3-319-53907-2
003 DE-He213
005 20181204134420.0
007 cr nn 008mamaa
008 170330s2017 gw | s |||| 0|eng d
020 _a9783319539072
_9978-3-319-53907-2
024 7 _a10.1007/978-3-319-53907-2
_2doi
040 _aISI Library, Kolkata
050 4 _aQA251.5
072 7 _aPBF
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBF
_2thema
082 0 4 _a512.46
_223
100 1 _aKrylov, Piotr.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFormal Matrices
_h[electronic resource] /
_cby Piotr Krylov, Askar Tuganbaev.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aVIII, 156 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAlgebra and Applications,
_x1572-5553 ;
_v23
505 0 _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.
650 0 _aAlgebra.
650 0 _aK-theory.
650 0 _aMatrix theory.
650 1 4 _aAssociative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11027
650 2 4 _aCategory Theory, Homological Algebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11035
650 2 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11094
700 1 _aTuganbaev, Askar.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319539065
776 0 8 _iPrinted edition:
_z9783319539089
776 0 8 _iPrinted edition:
_z9783319852720
830 0 _aAlgebra and Applications,
_x1572-5553 ;
_v23
856 4 0 _uhttps://doi.org/10.1007/978-3-319-53907-2
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427207
_d427207