Module Theory: Noetherian Modules

Related lectures (31)

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Explores isotypic decomposition in finitely generated C-algebras and its implications, including G-stable ideals and linear projections.

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

Covers the isotopic decomposition of modules into simple components and their properties.

Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

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

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers homomorphisms, projective modules, and resolutions in chain complexes.

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