Categories, algebraic structures, linear and homological algebra / Henri Bourl�es.

By: Bourles, Henri [author.]Material type: TextTextSeries: Fundamentals of advanced mathematics ; 1.Publisher: London, UK : Kidlington, Oxford, UK : ISTE Press ; Elsevier, 2017Description: 1 online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780081021125; 0081021127Subject(s): AlgebraDDC classification: 512 LOC classification: QA152.3Online resources: ScienceDirect
Contents:
Front Cover; Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra ; Dedication ; Copyright ; Contents; Preface; List of Notations; Standard notation; Categories ; Functors ; Structures ; Monoids and ordered sets ; Groups ; Rings and algebras ; Additional concepts from linear algebra ; Notions of Commutative Algebra ; Homological notions ; Modules over principal ideal domains and related notions ; 1. Categories and Functors; 1.1. Categories; 1.2. Functors; 1.3. Structures; 2. Elementary Algebraic Structures; 2.1. Monoids and ordered sets
2.2. Groups2.3. Rings and algebras; 3. Modules and Algebras; 3.1. Additional concepts from linear algebra; 3.2. Notions of commutative algebra; 3.3. Homological notions; 3.4. Modules over principal ideal domains and related notions; Bibliography; Cited Authors; Index; Back Cover
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Online resource; title from PDF title page (ScienceDirect, viewed July 20, 2017).

Includes bibliographical references and index.

Front Cover; Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra ; Dedication ; Copyright ; Contents; Preface; List of Notations; Standard notation; Categories ; Functors ; Structures ; Monoids and ordered sets ; Groups ; Rings and algebras ; Additional concepts from linear algebra ; Notions of Commutative Algebra ; Homological notions ; Modules over principal ideal domains and related notions ; 1. Categories and Functors; 1.1. Categories; 1.2. Functors; 1.3. Structures; 2. Elementary Algebraic Structures; 2.1. Monoids and ordered sets

2.2. Groups2.3. Rings and algebras; 3. Modules and Algebras; 3.1. Additional concepts from linear algebra; 3.2. Notions of commutative algebra; 3.3. Homological notions; 3.4. Modules over principal ideal domains and related notions; Bibliography; Cited Authors; Index; Back Cover

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