Concept

Finite ring

Related lectures (31)

Explores rings, domains, fields, and ideals, with a focus on constructions and properties.

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

Covers the application of finite element methods to solve boundary value problems in one dimension.

Explains modular arithmetic operations and properties, including commutative rings and multiplicative inverses.

Covers modular arithmetic properties, computation examples, and commutative rings.

Explores irreducible polynomials, finite fields, and the construction of unique finite fields from irreducible polynomials.

Explores operations on ideals and structure theorems in commutative rings.

Covers commutative groups and their significance in cryptography.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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