Produkt
KlappentextThis 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.
Zusammenfassung
Provides the first systematic treatment of formal matrices in a single volume
Examines injective, flat, projective and hereditary modules over formal matrix rings of order 2 in great detail
Includes concrete examples that illustrate the structures of formal matrix rings
Includes supplementary material: sn.pub/extras
Provides the first systematic treatment of formal matrices in a single volume
Examines injective, flat, projective and hereditary modules over formal matrix rings of order 2 in great detail
Includes concrete examples that illustrate the structures of formal matrix rings
Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-53906-5
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2017
Erscheinungsdatum07.04.2017
Auflage1st ed. 2017
Seiten156 Seiten
SpracheEnglisch
Gewicht369 g
IllustrationenVIII, 156 p.
Artikel-Nr.42135052
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