Lecture
Chinese Idempotent Constructions and Properties
Related lectures (33)
Rings and Fields: Principal Ideals and Ring Homomorphisms
Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.
Ring Operations: Ideals and Classes
Covers the operations in rings, ideals, classes, and quotient rings.
Regularity and Integrality
Covers regularity and integrality in local Noether rings and affine rings.
Dimension theory of rings
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Idempotent Elements and Central Orthogonal
Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.
Rings and Fields
Explores rings, fields, ideals, and their properties in algebraic structures.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.
Irreducible Factors and Noetherian Rings
Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.
Simple Modules: Schur's Lemma
Covers simple modules, endomorphisms, and Schur's lemma in module theory.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.