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Groups, Rings, Modules by [by] Maurice Auslander [and] David A. Buchsbaum is a nonfiction available to read on EtoBox.

What is Groups, Rings, Modules about?

The main thrust of this book is easily described. It is to introduce the reader who already has some familiarity with the basic notions of sets, groups, rings, and vector spaces to the study of rings by means of their module theory. This program is carried out in a systematic way for the classicalJy important semisimple rings, principal ideal domains, and Oedekind domains. The proofs of the well-known basic properties of these traditionally important rings have been designed to emphasize general concepts and techniques. HopefulJy this wilJ give the reader a good introduction to the unifying methods currently being developed in ring theory. CONTENTS Preface ix PART ONE 1 Chapter I SETS AND MAPS 3 I. Sets and Subsets 3 2. Maps S 3. Isomorphisms of Sets 7 4. Epimorphisms and Monomorphisms 8 S. The Image Analysis of a Map 10 6. The Coimage Analysis of a Map II 7. Description of Surjective Maps 12 8. Equivalence Relations 13 9. Cardinality of Sets IS 10. Ordered Sets 16 II. Axiom of Choice 17 12. Products and Sums of Sets 20 Exercises 23 Chapter 2 MONOIDS AND GROUPS 27 1. Monoids 27 2. Morphisms of Monoids 30 3. Special Types of Morphisms 32 4. Analyses of Morphisms 37 5. Description of

Who reads Groups, Rings, Modules?

Author

[by] Maurice Auslander [and] David A. Buchsbaum

Publisher

New York, Harper & Row

Published

1974

Language

EN

ISBN

9780060403874

Category

nonfiction

Subjects

Mathematics, Stem