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Swayam

Algebra - II

IMSC and NPTEL via Swayam

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Overview

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Second part of Foundational PG level course in algebra, suitable for M.Sc and first year PhD students in Mathematics.INTENDED AUDIENCE :NonePREREQUISITES : Algebra I (highly recommended)INDUSTRIES SUPPORT :None

Syllabus

Week 1:Fields, equations, extensionsWeek 2:Ruler and compass constructions,Week 3:Finite FieldsWeek 4:Galois Theory - 1
Week 5:Galois Theory - 2Week 6:Categories, functors, natural transformations - 1Week 7:Categories, functors, natural transformations - 2Week 8:Tensor products of modules
Week 9:Jordan-Holder theoremWeek 10:Krull-Schmidt theoremWeek 11:Semisimple rings, Artin-Wedderburn theoremWeek 12:Multilinear Algebra

Taught by

Prof. Amritanshu Prasad, Prof. S. Viswanath

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