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Algebras, Rings and Modules
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Non-Commutative Algebras and Rings
Besorgungstitel - wird vorgemerkt | Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
Artikel-Nr:
9781482245035
Veröffentl:
2016
Erscheinungsdatum:
26.01.2016
Seiten:
388
Autor:
Michiel Hazewinkel
Gewicht:
703 g
Format:
234x157x28 mm
Sprache:
Englisch
Beschreibung:
Michiel Hazewinkel, Nadiya M. Gubareni
The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This volume is a continuation and an in-depth study, stressing the non-commutative nature of the first two volumes of Algebras, Rings and Modules by M. Hazewinkel, N. Gubareni, and V. V. Kirichenko. It is largely independent of the other volumes. The relevant constructions and results from earlier volumes have been presented in this volume.
Preface. Preliminaries. Basic general constructions of rings and modules. Homological dimensions of rings and modules. Goldie and Krull dimensions of rings and modules. Rings with Finiteness conditions. Krull-Remak-Schmidt-Azumaya theorem. Hereditary and semihereditary rings. Serial nonsingular rings. Jacobson's conjecture. Rings related to Finite posets. Distributive and semidistributive rings. The group of extensions. Modules over semiperfect rings. Representations of primitive posets. Representations of quivers, species and finite dimensional algebras. Artinian rings of finite representation type. Semiperfect rings of bounded representation type.