Algebra / Vivek Sahai
Material type: TextPublication details: Narosa, New Delhi : 2008Edition: 3rd edDescription: xii, 347 pISBN:- 9788173198250
- 512 S1313
Item type | Current library | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | UE-Central Library | 512 S1313 (Browse shelf(Opens below)) | Available | T2034 |
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, Centralizer 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 ; Semisimple Modules ; Fields: Field Extensions ; Splitting Fields ; Algebraically Closed Fields ; Normal Extensions ; Separable Extensions ; Galois Theory ; Galois Group of a Polynomial ; Radical Extensions ; Constructibility ; Bibliography ; Index.
There are no comments on this title.