Algebra: Chapters 1-3 |
Contents
Description of formal mathematics 2 Theory of sets 3 Ordered sets | 1 |
ix | 10 |
I Rational integers | 21 |
Copyright | |
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Common terms and phrases
A-algebra A-linear a₁ algebra homomorphism associative automorphism b₁ basis bijective called canonical homomorphism canonical injection canonical mapping Card commutative group commutative ring compatible composition series Deduce defined DEFINITION denoted direct sum E₁ endomorphism equivalence relation Exercise exists F₁ finite group follows formula G₁ G₂ graded algebra group G group with operators H₁ hence homogeneous identity element implies induction integer inverse isomorphism kernel law of composition left A-module left ideal left resp Lemma Let f Let G linear mapping M₁ magma matrix Mo(X module monoid morphism multiplication necessary and sufficient nilpotent non-empty normal stable subgroup normal subgroup notation ordered pair p-group permutation prime number quotient group sequence Set Theory Show stable subgroup stable subset subgroup of G submodule subring subspace Suppose surjective Sylow p-subgroup Theorem two-sided ideal unique vector space whence x₁ y₁ λει