Abstract algebra
Dummit, S. Dummit
creator
Foote,Richard M.
text
ii
New Delhi
John wiley & sons.
2012, 2004c
2012
2004
3rd ed.
monographic
eng
xii, 932 p. : ill. ; 25 cm.
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.
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.
general
/ by David S. Dummit and Richard M. Foorte
Includes index.
Algebra, Abstract
512.02 DUM-A 2012 353
9788126532285
130219
20130906051226.0