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Basic Algebra I (Bk. 1) by Nathan Jacobson is a nonfiction available to read on EtoBox.

What is Basic Algebra I (Bk. 1) about?

0 INTRODUCTION: CONCEPTS FROM SET THEORY 18 0 THE INTEGERS 18 0.1 The power set of a set 20 0.2 The Cartesian product set.Maps 21 0.3 Equivalence relations.Factoring a map through an equivalence relation 27 0.4 The natural numbers 32 0.5 The number system Z of integers 36 0.6 Some basic arithmetic facts about Z 39 0.7 A word on cardinal numbers 41 1 MONOIDS AND GROUPS 43 1.1 Monoids of transformations and abstract monoids 45 1.2 Groups of transformations and abstract groups 48 1.3 Isomorphism.Cayley's theorem 53 1.4 Generalized associativity.Commutativity 56 1.5 Submonoids and subgroups generated by a subset.Cyclic groups 59 1.6 Cycle decomposition of permutations 65 1.7 Orbits.Cosets of a subgroup 68 1.8 Congruences.Quotient monoids and groups 71 1.9 Homomorphisms 75 1.10 Subgroups of a homomorphic image.Two basic isomorphism theorems 81 1.11 Free objects.Generators and relations 84 1.12 Groups acting on sets 88 1.13 Sylow's theorems 96 2 RINGS 102 2.1 Definition and elementary properties 103 2.2 Types of rings 107 2.3 Matrix rings 109 2.4 Quaternions 115 2.5 Ideals, quotient rings 118 2.6 Ideals and quotient rings for Z 120 2.7 Homomorphisms of ring

Who reads Basic Algebra I (Bk. 1)?

Author

Nathan Jacobson

Publisher

W. H. Freeman & Company

Published

1985

Language

EN

ISBN

9780716719335

Category

nonfiction

Subjects

Mathematics, Stem