Ring Theory: Morphisms and Isomorphisms

Related lectures (32)

Page 3 of 4

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

Discusses Fermat's equation and Gaussian integers' properties.

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

Introduces affine varieties and covers morphisms between them and their coordinate rings.

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

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

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

Discusses irreducible factors in rings and the properties of Noetherian rings.

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.

Explores operations on ideals and structure theorems in commutative rings.