Chinese Remainder Theorem

Related lectures (32)

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

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

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Covers the operations in rings, ideals, classes, and quotient rings.

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

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

Explores rings, fields, ideals, and their properties in algebraic structures.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.