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- catalog abstract ""A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to automatically smooth the trajectory of learning algebra from zero to one."--Jacket.".
- catalog contributor b13298980.
- catalog contributor b13298981.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description ""A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to automatically smooth the trajectory of learning algebra from zero to one."--Jacket.".
- catalog description "General mathematical concepts -- 1. Sets -- 2. Maps -- 3. Cartesian product and binary relations -- 4. Posets, lattices, Zorn's lemma -- 5. Peano's axioms -- 6. Cardinality -- 7. Quotient sets -- Algebraic structures -- 8. Groupoids, semigroups, monoids -- 9. Groups -- 10. The integers -- 11. Congruences -- 12. Normal subgroups -- 13. Isomorphism theorems for groups -- 14. Cyclic groups -- 15. Direct product of groups -- 16. The symmetric group -- 17. Further results on groups -- 18. Rings, ideals and homomorphisms -- 19. Quotient rings -- 20. Direct product of rings -- 21. Domains, prime and maximal ideals -- 22. Polynomials -- 23. U.F.D., P.I.D. and Euclidean domains -- 24. The quotient field of a domain -- 25. Factoriality of rings of polynomials -- 26. Modules and vector spaces -- 27. Field extensions -- 28. Galois extensions -- 29. Finite fields -- 30. The Galois theory of equations -- 31. Ruler and compass constructions -- 32. Secrets in finite fields : codes -- 33. Ordered rings : the real numbers -- 34. Representation of finite groups -- 35. Some historical remarks.".
- catalog description "Includes bibliographical references (p. 735-737) and index.".
- catalog extent "x, 754 p. :".
- catalog identifier "0824709853".
- catalog isPartOf "Monographs and textbooks in pure and applied mathematics ; 263".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "New York : M. Dekker,".
- catalog subject "Algebra, Abstract.".
- catalog subject "QA162 .M46 2004".
- catalog tableOfContents "General mathematical concepts -- 1. Sets -- 2. Maps -- 3. Cartesian product and binary relations -- 4. Posets, lattices, Zorn's lemma -- 5. Peano's axioms -- 6. Cardinality -- 7. Quotient sets -- Algebraic structures -- 8. Groupoids, semigroups, monoids -- 9. Groups -- 10. The integers -- 11. Congruences -- 12. Normal subgroups -- 13. Isomorphism theorems for groups -- 14. Cyclic groups -- 15. Direct product of groups -- 16. The symmetric group -- 17. Further results on groups -- 18. Rings, ideals and homomorphisms -- 19. Quotient rings -- 20. Direct product of rings -- 21. Domains, prime and maximal ideals -- 22. Polynomials -- 23. U.F.D., P.I.D. and Euclidean domains -- 24. The quotient field of a domain -- 25. Factoriality of rings of polynomials -- 26. Modules and vector spaces -- 27. Field extensions -- 28. Galois extensions -- 29. Finite fields -- 30. The Galois theory of equations -- 31. Ruler and compass constructions -- 32. Secrets in finite fields : codes -- 33. Ordered rings : the real numbers -- 34. Representation of finite groups -- 35. Some historical remarks.".
- catalog title "Abstract algebra : a comprehensive treatment / Claudia Menini, Freddy van Oystaeyen.".
- catalog type "text".