000			01727nam a22002177a 4500
003			IIITD
005			20240502113101.0
008			240409b xxu||||| |||| 00| 0 eng d
020			_a9788184876208
040			_aIIITD
082			_a512 _bSAH-A
100			_aSahai, Vivek
245			_aAlgebra _cby Vivek Sahai and Vikas Bist
250			_a4th ed.
260			_aNew Delhi : _bNarosa, _c©2018
300			_axii, 373 p. : _bill. ; _c23 cm.
505			_tPreface / 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, Centralizer and Class Equation / Symmetric Groups / Direct Products / Automorphisms / Group Actions / 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 / Semisimple Modules / Fields: Field Extensions / Splitting Fields / Algebraically Closed Fields / Normal Extensions / Separable Extensions / Galois Theory / Galois Group of a Polynomial / Radical Extensions / Constructibility / Appendix / Bibliography / Index.
650			_aAlgebra
700			_aBist, Vikas
942			_2ddc _cBK
999			_c172450 _d172450