TY - BOOK
AU - Sahai, Vivek
AU - Bist, Vikas
TI - Algebra
SN - 9781842651575
U1 - 512
PY - 2003///
CY - New Delhi
PB - Alpha Science International,
KW - Algebra
N1 - Bibliography & Index annexed; Preface / Notations / Preliminaries / Sets and Mappings / Equivalence relation / The Integers / The Axiom of Choice / Countable and Uncountable Sets / Groups / Definitions and Examples / Subgroups / Cosets and Normal Subgroups / Homomorphisms / Normalizer, Centerlizer and Class Equation / Symmetric Groups / Direct Products / Automorphisms / Sylow's Theorems / Applications of Sylow's Theorems / Series of Groups / Finite Abelian Groups / Groups of Small Order / Rings / Definitions and Examples / Ideals and Isomorphism Theorems / Direct Product of Rings / Rings of Polynomials / Fields of Fractions / Prime Ideals and Maximal Ideals / Factorization in Integral Domains / Noetherian Rings / Modules / Definitions and Examples / Module Homomorphisms and Quotient Modules / Direct Sums and Exact Sequences / Free Modules / Free Modules over PIDs / Finitely Generated Modules over PIDs / Projective and Injective Modules / Fields / Field Extensions / Splitting Fields / Algebraically Closed Fields / Normal Extensions / Separable Extensions / Galois Theory / Galois Group of a Polynomial / Radiacal Extensions / Constructibility / Bibliography / Index
ER -