Algebra
Material type:
- 9788184876208
- 512 SAH-A
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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IIITD General Stacks | Mathematics | 512 SAH-A (Browse shelf(Opens below)) | Checked out | 23/06/2025 | 012819 |
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512 LIT-S The skeleton key of mathematics : | 512 MIC-A Algebra and analysis for engineers and scientists | 512 NAI-F Functional analysis : | 512 SAH-A Algebra | 512.002 GON-C The cartoon guide to algebra | 512.02 ALL-R Rings, fields, and groups : | 512.02 AYR-M Schaum's outline of theory and problems of modern abstract algebra |
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 / 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.
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