Construction of Quotient Rings

Related lectures (32)

Page 3 of 4

Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.

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

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.

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

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

Covers the ring structure, focusing on polynomials and coefficients, including associativity, distributivity, and the product of rings.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

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

Covers primary decomposition in commutative rings and its application in prime ideals.

Introduces sub-rings and morphisms in ring theory, emphasizing stability by multiplication.