Lecture Notes || SNS Courseware

Lecture Notes

UNIT 1:

Groups

UNIT 2:

Subgroups, Normal Sub groups, Quotient Groups

UNIT 3:

Homomorphism – Cauchy‘s theorem for Abelian groups –Automorphisms – Inner automorphism - Cayley‘s theorem, permutation groups.

UNIT 4:

UNIT IV: Rings [11 Hours] Definition and Examples –Some Special Classes of Rings – Commutative ring – Field –Integral domain - Homomorphisms of Rings.

UNIT 5:

UNIT V: Ideals and Quotient Rings [11 Hours] Ideals and Quotient Rings – More Ideals and Quotient Rings – Maximal ideal - The field of Quotients of an Integral Domain.

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