Lectures related to Fractions of Rings

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

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

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

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

Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.

Explores the calculation of generators of ideals and their significance in mathematical operations.

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.