Algebra: Fundamental Theorem

Related lectures (31)

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

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

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

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

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

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

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