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Algebra - II

Offered By: IMSC via Swayam

Tags

Algebra Courses Galois Theory Courses Finite Fields Courses Functors Courses

Course Description

Overview

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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