A first course in abstract algebra / John B. Fraleigh
By: Fraleigh, John B.
London : Addison Wesley Publishing Company, 1976 Edition: 2 ed.Description: 455 p.Subject(s): Algebra | MatematicasDDC classification: 512.02 / F798aItem type | Current location | Collection | Call number | Vol info | Copy number | Status | Notes | Date due | Barcode | Item holds |
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Libros | Biblioteca Central | General | 512.02 / F798a (Browse shelf) | 1 | Available | 8010004753 | ||||
Libros | Biblioteca Central Book Cart | General | 512.02 / F798a (Browse shelf) | 2 | Available | DO | 8010004754 |
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512 / V656a Algebra y trigonometría / | 512 / V656a Algebra y trigonometría / | 512 / Z23i Introducción al algebra y análisis moderno / | 512.02 / F798a A first course in abstract algebra / John B. Fraleigh | 512.02 / F798a A first course in abstract algebra / John B. Fraleigh | 512.02 / F843a A first Course in Abstract Algebra | 512.02 / M161 Algebra / |
Groups -- Binary operations -- Groups -- Subgroups -- Permutations I y II -- Cyclic groups -- Isomorphism --
Direct products -- Finitely generated abelian gropups -- Groups in geometry and analysis -- Groups of cosets
-- Normal subgroups and factor groups -- Homomorphisms -- series of groups -- The sylow theorems --
Applications of the sylow theory -- Free groups -- Group presentations -- Simplicial complexes and homology
groups -- Computations of homology groups -- More homology computations and applications -- Homological
algebra -- Rings and fields -- Rings -- Integral domains -- Some noncommutative examples -- The field of
quotients of an integral domain -- Our basic goal -- Quotient ring and ideals -- Homomorphisms of rings --
Rings of polynomials -- Factorization of polynomials over a field -- Unique factorization domains -- Euclidean
domains -- Gaussian integers and norms -- Introduction to extension fields -- Vector spaces -- Further
algebraic structures -- Algebraic extensions -- Geometric constructions -- Automorphisms of fields -- The
isomorphism extension theorem -- Splitting fields -- Separable extensions -- Totally inseparable extensions --
Finite fields -- Galois theory -- Illustrations of galois theory -- Cyclotomic extensions -- Insolvability of
the quintic --
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