Module over a Ring

Related lectures (32)

Page 1 of 4

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers commutative ring morphisms, subrings, and injective ring morphisms.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.