Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
