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Elements of abstract algebra [Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with straightedge and compass) -- Galois theory (Automorphisms, Galois extensions, Solvability of equations by radicals) -- Ring theory (Definitions and examples of ring structure, Ideals, Unique factorization) -- Classical Ideal theory (Fields of fractions]

Elements of abstract algebra [Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with straightedge and compass) -- Galois theory (Automorphisms, Galois extensions, Solvability of equations by radicals) -- Ring theory (Definitions and examples of ring structure, Ideals, Unique factorization) -- Classical Ideal theory (Fields of fractions]

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Elements of abstract algebra [Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with straightedge and compass) -- Galois theory (Automorphisms, Galois extensions, Solvability of equations by radicals) -- Ring theory (Definitions and examples of ring structure, Ideals, Unique factorization) -- Classical Ideal theory (Fields of fractions]

by Clark, Allan, 1935-

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About This Item

New York : Dover Publications, 1984, 1984. Good. xvii, 205 p. : ill. ; 22 cm. ; ISBN: 0486647250 (pbk.) :; 9780486647258 (pbk.); LCCN: 84-6118 ; paper wrappers ; Originally published: Belmont, Calif. : Wadsworth, c1971; OCLC: 10697311 ; Contents: Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with straightedge and compass) -- Galois theory (Automorphisms, Galois extensions, Solvability of equations by radicals) -- Ring theory (Definitions and examples of ring structure, Ideals, Unique factorization) -- Classical Ideal theory (Fields of fractions, Dedekind domains, Integral extensions, algebraic integers). ; some highlighting, else G

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Joseph Valles - Books

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