Abstract algebra / by David S. Dummit and Richard M. FoorteMaterial type: TextPublication details: New Delhi : John wiley & sons. 2012, 2004cEdition: 3rd edDescription: xii, 932 p. : ill. ; 25 cmISBN: 9788126532285Subject(s): Algebra, AbstractDDC classification: 512.02
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|512 TAB-T 2019 11530 The history of mathematics algebra : Numbers Computers, Philosophers, and the search of meaning /||512 TAB-T 2019 11531 The history of mathematics algebra : Probability and statistics , The science of uncertainty /||512 TAB-T 2019 11532 The history of mathematics algebra : sets, symbols, and the language of thoughts /||512.02 DUM-A 2012 353 Abstract algebra||512.02 FRA-F 2013 377 A first course in abstract algebra||512.02 FRA-F 2013 651 A first course in abstract algebra||512.02 FRA-F 2018 10695 A first course in abstract algebra|
pt. 1. Group theory. Introduction to groups -- Subgroups -- Quotient groups and homomorphisms -- Group actions -- Direct and semidirect products and abelian groups -- Further topics in group theory -- pt. 2. Ring theory. Introduction to rings -- Euclidean domains, principal ideal domains and unique factorization domains -- Polynomial rings -- pt. 3. Modules and vector spaces. Introduction to module theory -- Vector spaces -- Modules over principal ideal domains -- pt. 4. Field theory and Galois theory. Field theory -- Galois theory -- pt. 5. An introduction to commutative rings, algebraic geometry, and homological algebra. Commutative rings and algebraic geometry -- Artinian rings, discrete valuation rings, and Dedekind domains -- Introduction to homological algebra and group cohomology -- pt. 6. Introduction to the representation theory of finite groups. Representation theory and character theory -- Examples and applications of character theory.
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics.