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Related lectures (5)
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Group Algebra: Maschke's Theorem
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.
Fermat's Theorem: Sums of Squares
Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
Properties of Finite Dimensional Algebras
Covers the properties of finite dimensional algebras and non-semisimple representations.
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