Rings and Modules: Integral Extensions

Related lectures (32)

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

Explores primary decomposition in rings, focusing on primary ideals and their properties.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

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

Explores modules, sub-modules, and morphisms in algebraic structures.

Covers the properties of finite dimensional algebras and non-semisimple representations.

Covers rings and modules, emphasizing color codes and homological algebra concepts.

Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Covers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.