000 01803nam a22002417a 4500
003 LSCPL
005 20130906051226.0
008 130219t20122004ii ill.g |||| 001 0 eng d
020 _a9788126532285
040 _cNCL
082 _23rd ed.
_a512.02
_bDUM-A 2012 353
100 1 _aDummit, S. Dummit
_9244
245 1 _aAbstract algebra
_c/ by David S. Dummit and Richard M. Foorte
250 _a3rd ed.
260 _aNew Delhi :
_bJohn wiley & sons.
_c2012, 2004c.
300 _axii, 932 p. :
_b ill. ;
_c25 cm.
500 _aIncludes index.
505 _apt. 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.
520 _aWidely 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.
650 _aAlgebra, Abstract
_958
700 1 _aFoote,Richard M.
_9245
942 _2ddc
_cBK
999 _c96
_d96