Localization in AlgebraCovers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Division Rings and IdealsExplores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.
Rings and FieldsExplores rings, fields, ideals, and their properties in algebraic structures.
Chinese Remainder TheoremExplores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
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.
