000 | 01727nam a22002177a 4500 | ||
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003 | IIITD | ||
005 | 20240502113101.0 | ||
008 | 240409b xxu||||| |||| 00| 0 eng d | ||
020 | _a9788184876208 | ||
040 | _aIIITD | ||
082 |
_a512 _bSAH-A |
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100 | _aSahai, Vivek | ||
245 |
_aAlgebra _cby Vivek Sahai and Vikas Bist |
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250 | _a4th ed. | ||
260 |
_aNew Delhi : _bNarosa, _c©2018 |
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300 |
_axii, 373 p. : _bill. ; _c23 cm. |
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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 |
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999 |
_c172450 _d172450 |