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Bourles, Henri,

Categories, algebraic structures, linear and homological algebra / Henri Bourl�es. - 1 online resource - Fundamentals of advanced mathematics ; 1 . - Fundamentals of advanced mathematics ; 1. .

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

ISBN: 9780081021125 0081021127

Subjects--Topical Terms:
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512