Algebraic Structures of Morphism Spaces

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Related lectures (32)

Page 2 of 4

Topology: Free Groups and Their Properties

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Ring Homomorphisms and Ideals

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

Polynomials: Definition and Operations

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Modules of Covariants

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

Injective Modules: Ox-Modules and Injectives

Covers injective modules, Ox-modules, and their relevance in algebraic structures, emphasizing their importance in resolving acyclic resolutions and computing cohomology.

Localization in Algebra

Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.

Group Morphisms: Injectivity and Conjugation

Explores group morphisms, injectivity criteria, and conjugation concepts within groups.

Sheaf Morphisms and Localization

Explores F-G sheaf morphisms, sheafification, and localization in ring theory.

Morphisms between Affine Varieties

Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.

Dimension Theory of Rings

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