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008 110218 00 eng
020 _a013775826X
_c(Int. ed.)
020 _a0471368571
039 9 _a201102181357
_bVLOAD
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082 0 4 _a512.02
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100 1 _aDummit, David Steven.
_9205091
245 1 0 _aAbstract algebra /
_cDavid S. Dummit, Richard M. Foote
250 _a2nd ed.
260 _aUpper Saddle River, N.J. :
_bPrentice Hall,
_cc1999.
300 _axiv, 898 p. :
_bill. ;
_c25 cm.
505 0 _aPreface to the second edition. - Preface to the first edition. - Preliminaries. - Pt. I. Group theory. Ch 1. Introduction to groups. Ch. 2. Subgroups. Ch. 3. Quotient groups and homomorphisms. Ch. 4. Group actions. Ch. 5. Direct and semidirect products and abelian groups. Ch. 6. Further topics in group theory. - Pt. II. Ring theory. Ch. 7. Introduction to rings. Ch. 8. Euclidean domains, principal ideal domains and unique factorization domains. Ch. 9. Polynomial rings. - Pt. III. Modules and vector spaces. - Ch. 10. Introduction to module theory. Ch. 11. Vector spaces. Ch. 12. Modules over principal ideal domains. - Pt IV. Field theory and galois theory. Ch. 13. Field theory. Ch. 14. Galois theory. - Pt. V. An introduction to commutative rings, algebraic geometry, and homological algebra. Ch. 15. Commutative rings and algebraic geometry. Ch. 16. Artinian rings, discrete valuation rings, and dedekind domains. Ch 17. Introduction to homomogical algebra and group cohomology. - Pt. IV. Introduction to the representation theory of finite groups. Ch. 18. Representation theory and character theory. - Ch. 19. Examples and applications of character theory. - Appendix I. Cartesian products and zorn's lemma. - Appendix II. Category theory. - Index.
650 0 _aAlgebra, Abstract.
_9205092
700 1 _aFoote, Richard M.,
_d1950-
_e(j.a.)
_9205093
920 _aGEN : 103206
921 _aCIT(DIP) : 540384
999 _c23496
_d23496