Dummit, S. Dummit

Abstract algebra / by David S. Dummit and Richard M. Foorte - 3rd ed. - New Delhi : John wiley & sons. 2012, 2004c. - xii, 932 p. : ill. ; 25 cm.

Includes index.

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.


Algebra, Abstract

512.02 / DUM-A 2012 353