Algebra
Sahai, Vivek
creator
Bist, Vikas
text
New Delhi
Alpha Science International
©2003
2nd ed
monographic
xii, 289 pages ;
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
Bibliography & Index annexed
Algebra
512 SAH
9781842651575
1842651579
9788173195167
8173195161