A Book of Abstract Algebra: Second EditionAccessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof- |
Other editions - View all
Common terms and phrases
abelian group automorphism called Chapter closed with respect codeword coefficients commutative ring congruences constructible contains coset cyclic group defined definition denote divisors of zero element of G element of order equal equation equivalence relation example Exercise Explain extension of F factor field F find finite extension finite group first fixed function f Gal(K Galois group gcd(a group G hence HINT homomorphic image ideal identity element infinite integral domain inverse irreducible polynomial isomorphism kernel Let F Let G Let H linear combination mathematics matrix modulo normal subgroup nth roots number of elements operation partition permutation polynomial a(x polynomial of degree positive integer prime number PROOF properties Prove that G Prove the following quotient group quotient ring real numbers relatively prime ring with unity root field roots of a(x satisfies solution solvable solve subgroup of G subring subset Suppose surjective Theorem vector space