Math 211.
Basic Algebra I
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Öğrenci Semineri / Students' Seminar
Takvim / Calendar 2003-2004
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Groups, subgroups, cyclic groups, permutation groups, abelian groups, direct product of groups, automorphism groups, theorems of Cauchy and Lagrange, normal subgroup, factor group, homomorphism, kernel, image, isomorphism, fundamental theorem of group theory. Semi-direct product of groups. Generators. Sylow's Theorems. Classification of finite Abelian groups. Divisible groups. Rings, subrings, ideals, operations with ideals, factor rings, homomorphism, kernel, isomorphism, fundamental theorem of ring theory. Polynomial rings, integral domains, characteristic of a ring, ring of endomorphisms of an abelian group, prime and maximal ideals, prime and irreducible elements. UFD, PID, Noetherian rings. Hilbert's Basis Theorem. Field of Fractions. Instructor: Ali Nesin (anesin at bilgi.edu.tr) Ali Nesin's
Lecture Notes:
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