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Cover: 9783110250220 | Rings and Their Modules | Paul E. Bland | Taschenbuch | Paperback
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Rings and Their Modules
Taschenbuch von Paul E. Bland
Sprache: Englisch

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Beschreibung
This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. The theme of the text is the interplay between rings and modules. At times rings are investigated by considering given sets of conditions on the modules they admit and at other times rings of a certain type are considered to see what structure is forced on their modules. Standard topics in ring and module theory such as chain conditions on rings and modules, injective and projective modules and semisimple rings are included as well as subjects like category theory and homological algebra. The text also contains presentations on topics such as flat modules and coherent rings, injective envelopes, projective covers and perfect rings, reflexive modules and quasi-Frobenius rings, and graded rings and modules.
The book is a self-contained volume written in a very systematic style: allproofs are clear and easy for the reader to understand and allarguments are based on materials contained in the book. A problem sets follow each section.
It is assumed that the reader is familiar with concepts such as Zorn's lemma, commutative diagrams and ordinal and cardinal numbers. It is also assumed that the reader has a basic knowledge of rings and their homomorphisms. The text is suitable for graduate and PhD students who have chosen ring theory for their research subject.
This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. The theme of the text is the interplay between rings and modules. At times rings are investigated by considering given sets of conditions on the modules they admit and at other times rings of a certain type are considered to see what structure is forced on their modules. Standard topics in ring and module theory such as chain conditions on rings and modules, injective and projective modules and semisimple rings are included as well as subjects like category theory and homological algebra. The text also contains presentations on topics such as flat modules and coherent rings, injective envelopes, projective covers and perfect rings, reflexive modules and quasi-Frobenius rings, and graded rings and modules.
The book is a self-contained volume written in a very systematic style: allproofs are clear and easy for the reader to understand and allarguments are based on materials contained in the book. A problem sets follow each section.
It is assumed that the reader is familiar with concepts such as Zorn's lemma, commutative diagrams and ordinal and cardinal numbers. It is also assumed that the reader has a basic knowledge of rings and their homomorphisms. The text is suitable for graduate and PhD students who have chosen ring theory for their research subject.
Über den Autor
Paul E. Bland, Eastern Kentucky University, USA.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: XIII
452 S.
ISBN-13: 9783110250220
ISBN-10: 3110250225
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bland, Paul E.
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Maße: 240 x 170 x 26 mm
Von/Mit: Paul E. Bland
Erscheinungsdatum: 28.01.2011
Gewicht: 0,785 kg
Artikel-ID: 107141322
Über den Autor
Paul E. Bland, Eastern Kentucky University, USA.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: XIII
452 S.
ISBN-13: 9783110250220
ISBN-10: 3110250225
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bland, Paul E.
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Maße: 240 x 170 x 26 mm
Von/Mit: Paul E. Bland
Erscheinungsdatum: 28.01.2011
Gewicht: 0,785 kg
Artikel-ID: 107141322
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