00935nam a22001457a 4500008004100000020001800041082001600059100001700075245002100092260005100113300001000164365001500174650003400189650056600223260709b |||||||| |||| 00| 0 eng d a9788120339323 a512.02bSHE aSheth, I. H. aAbstract Algebra aNew DelhibPHI Learning Private Limited,c2026 a373p. dRs. 795.00 aDepartment of Mathematics  aPart I: PRELIMINARIES 1. SET THEORY 2. RELATIONS 3. MAPPINGS 4. MATRICES 5. BINARY OPERATIONS 6. INTEGERS Part II: GROUP THEORY 7. GROUPS 8. SUBGROUPS 9. PERMUTATIONS 10. NORMAL SUBGROUPS 11. ISOMORPHISM OF GROUPS 12. CYCLIC GROUPS 13. HOMOMORPHISM: 1 Part III: RING THEORY 14. RINGS 15. INTEGRAL DOMAINS 16. IDEALS: 1 17. HOMOMORPHISM: 2 18. FIELDS 19. POLYNOMIALS 20. IDEALS: 2 21. FINITE FIELDS 22. UNIQUE FACTORIZATION DOMAIN AND EUCLIDEAN RING Appendices A: De Moivre’s Theorem B: Three Famous Problems Supplementary Problems • References • Index