Lecture
Integrity in Algebra
Related lectures (45)
Rings and Fields
Explores rings, fields, ideals, and their properties in algebraic structures.
Localization in Algebra
Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Rings and Fields: Principal Ideals and Ring Homomorphisms
Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Ring of Polynomials: Coefficients and Multiplication
Covers the ring of polynomials, focusing on coefficients and multiplication.
Division Rings and Ideals
Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.
Chinese Remainder Theorem
Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Rings and Ideals
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.