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Sinopsis
This is a self-contained account of much of the theory of rings and modules. The theme of the text is the relationship between the one-sided ideal structure a ring may possess and the behaviour of its categories of modules. Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms. The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect and perfect rings. This second edition includes a chapter containing many of the classical results on Artinian rings that have helped form the foundation for much of contemporary research on the representation theory of Artinian rings and finite-dimensional algebras.
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This is a self-contained account of much of the theory of rings and modules. The theme of the text is the relationship between the one-sided ideal structure a ring may possess and the behaviour of its categories of modules. Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms. The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect and perfect rings. This second edition includes a chapter containing many of the classical results on Artinian rings that have helped form the foundation for much of contemporary research on the representation theory of Artinian rings and finite-dimensional algebras.
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Rings and Categories of Modules
Publicado por
Springer-Verlag GmbH & Co. KG
ISBN 10: 3540978453
ISBN 13: 9783540978459
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Tapa dura
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 85703/202
Cantidad disponible: 1 disponibles
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Rings and Categories of Modules (Graduate Texts in Mathematics)
Publicado por
Springer, Berlin,, 1992
ISBN 10: 3540978453
ISBN 13: 9783540978459
Antiguo o usado
Tapa dura
Librería: Die Wortfreunde - Antiquariat Wirthwein Matthias Wirthwein, Mannheim, Alemania
Calificación del vendedor: 4 de 5 estrellas
8°, OPp, gebundene Ausgabe. Auflage: 2nd ed. 376 S. Hinterer Einbandeckel mit kleiner unbedeutender Schnittspur, sonst sehr gut erhalten. Siet ungelesen aus. Sprache: Englisch Gewicht in Gramm: 563. Nº de ref. del artículo: 74070
Cantidad disponible: 1 disponibles