Abstract Algebra |
Contents
CHAPTER | 1 |
AS The Set of 11 Mappings of S onto Itself | 18 |
The Integers | 25 |
Copyright | |
11 other sections not shown
Common terms and phrases
a₁ abelian group addition algebraic called Chapter claim closed coefficients common commutative complex numbers Consider consists constructible contains Corollary cosets cycles cyclic defined definition distinct divides divisible elements equal equations equivalence Example exists extension fact factors field finite function G₁ give given group G group of order hence homomorphism ideal implies important induction instance integral domain inverse irreducible isomorphic leave Lemma length Let G look mapping means merely multiplication namely nonzero normal subgroup Note obtain operation permutation polynomial positive integer Problem Proof properties prove rational numbers reader real numbers relation relatively prime result ring root satisfies subgroup of G subset Suppose Theorem theory things true unique vector space verify write