Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Rings and IdealsExplores rings, domains, fields, and ideals, with a focus on constructions and properties.
Division Rings and IdealsExplores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.
Localization in AlgebraCovers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Chinese Remainder TheoremExplores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Module over a RingExplores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
