Chinese Remainder TheoremExplores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Factorisation in PIDsCovers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
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.