Graduate Algebra I

This module is designed for graduate students in both pure and applied mathematics. It covers topics from the five basic areas of groups, rings, modules, fields and multi-linear algebra, including group actions, Sylow theorems, Jordan-Holder theorem, semisimple modules, chain conditions, bimodules, tensor products and localizations, algebraic, separable and normal field extensions, algebraic closures, multilinear forms, quadratic forms, symmetric and exterior algebras.

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