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Algebras, Rings and Modules
Non-commutative Algebras and Rings
Taschenbuch von Michiel Hazewinkel (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Michiel Hazewinkel, Nadiya M. Gubareni
Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780367783242
ISBN-10: 036778324X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hazewinkel, Michiel
Gubareni, Nadiya M.
Hersteller: CRC Press
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 234 x 156 x 21 mm
Von/Mit: Michiel Hazewinkel (u. a.)
Erscheinungsdatum: 31.03.2021
Gewicht: 0,591 kg
Artikel-ID: 128398467
Über den Autor
Michiel Hazewinkel, Nadiya M. Gubareni
Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780367783242
ISBN-10: 036778324X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hazewinkel, Michiel
Gubareni, Nadiya M.
Hersteller: CRC Press
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 234 x 156 x 21 mm
Von/Mit: Michiel Hazewinkel (u. a.)
Erscheinungsdatum: 31.03.2021
Gewicht: 0,591 kg
Artikel-ID: 128398467
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