Flat morphism

Related lectures (32)

Introduces the concept of the differential of a morphism and its applications in algebraic treatments.

Formalizes the construction of orbits and fixed points in group actions, defining morphisms and verifying naturalness.

Introduces simplicial sets and explores the construction of products with a geometric interpretation.

Focuses on lifting properties in homotopy theory of chain complexes.

Explores the regularity of curves over a field and the importance of specific properties for curve regularity.

Covers the concept of morphisms of coverings and emphasizes the recognition of automorphisms.

Covers the definition and properties of a field of fractions.

Introduces sub-rings and morphisms in ring theory, emphasizing stability by multiplication.

Explores the properties and applications of determinants in linear algebra.

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

Covers sheafification, adjoint functors, and challenges in ensuring sheaf properties.

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