Lectures related to Ideals in Commutative Rings

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

Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.

Covers the properties of the algebra of matrices and related concepts.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Covers commutative ring morphisms, subrings, and injective ring morphisms.

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

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

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

Covers the concept of ideals in polynomial rings and their properties.

Explores rings, fields, ideals, and their properties in algebraic structures.