Algebra : a graduate course / I. Martin Isaacs.
| Author/creator | Isaacs, I. Martin, 1940- author. |
| Format | Book |
| Publication | Providence, Rhode Island : AMS, 2026. |
| Copyright Date | ©1994 |
| Description | xii, 516 pages : illustrations ; 26 cm |
| Subjects |
| Series | Graduate studies in mathematics ; 100 Graduate studies in mathematics ; 100. |
| 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 --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. |
| General note | Includes index. |
| Genre/form | Textbooks. |
| Genre/form | Textbooks. |
| ISBN | 1470484501 |
| ISBN | 9781470484507 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | New Books | QA254.2 .I83 2026 | ✔ Available | Want This? |