Algebra, a graduate course / I. Martin Isaacs.

Author/creator Isaacs, I. Martin, 1940-
Format Book
Publication InfoPacific Grove, Calif. : Brooks/Cole Pub. Co., ©1994.
Descriptionxii, 516 pages : illustrations ; 25 cm
Subjects

Contents Definitions and examples of groups -- Subgroups and cosets -- Homomorphisms -- Group actions -- The sylow theorems and p-groups -- Permutation groups -- New groups from old -- Solvable and nilpotent groups -- Transfer -- Operator groups and unique decompositions -- Module theory without rings -- Rigns, ideals, and modules -- Simple modules and primitive rings -- Artinian rings and projective modules -- An introduction to character theory -- Polynomial rings, PIDs, and UFDs -- Field extensions -- Galois theory -- Separability and inseparability --
Contents Cyclotomy and geometric constructions -- Finite fields -- Roots, radicals, and real numbers -- Norms, traces, and discriminants -- Transcendental extensions -- The Artin-Schreier theorem -- Ideal theory -- Noetherian rings -- Integrality -- Dedekind domains -- Algebraic sets and the Nullstellensatz.
Local noteLittle-292814--3051300459861
General noteIncludes index.
LCCN 93021157
ISBN0534190022

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA254.2 .I83 1994 ✔ Available Place Hold