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Spectrum Modern Algebra for B.A. / B.Sc. Semester 5 P.U. by D.R. Sharma

Spectrum Modern Algebra for B.A. / B.Sc. Semester 5 P.U. by D.R. Sharma

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Unit-I

Groups, Subgroups, Lagrange’s Theorem, Normal subgroups and Quotient Groups, Homomorphisms, Isomorphism Theorems, Conjugate elements, Class equation, Permutation Groups, Alternating groups, Simplicity of nA, n 5 (without proof).

Unit-II

Rings, Integral domains, Subrings and Ideals, Characteristic of a ring, Quotient Rings, Prime and Maximal Ideals, Homomorphisms, Isomorphism Theorems, Polynomial rings.

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