Properties of Euclidean Domains

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Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

Covers the Chinese remainder theorem, polynomial rings, and Euclidean domains among other topics.

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

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

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

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

Explores operations on ideals and structure theorems in commutative rings.