01742nam a22002177a 4500003000600000005001700006008004100023020001800064040000800082082003600090100002200126245006500148250001200213260005000225300003600275500002000311505096500331520018501296650002201481700002101503LSCPL20130906051226.0130219t20122004ii ill.g |||| 001 0 eng d a9788126532285 cNCL 23rd ed.a512.02bDUM-A 2012 3531 aDummit, S. Dummit1 aAbstract algebrac/ by David S. Dummit and Richard M. Foorte a3rd ed. aNew Delhi :bJohn wiley & sons.c2012, 2004c. axii, 932 p. : b ill. ;c25 cm. aIncludes index. 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. 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. aAlgebra, Abstract1 aFoote,Richard M.