000 | 01803nam a22002417a 4500 | ||
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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. |
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300 |
_axii, 932 p. : _b ill. ; _c25 cm. |
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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 |
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700 | 1 |
_aFoote,Richard M. _9245 |
|
942 |
_2ddc _cBK |
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999 |
_c96 _d96 |