Irreducible Factors and Noetherian Rings

Related lectures (32)

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Covers the properties of fields, including irreducibility and units in polynomials.

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

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

Covers the basics of polynomials, focusing on rings, operations, and properties.

Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.

Covers the interpretation and applications of symbolic powers in algebraic structures, focusing on Krull's Hauptideal Satz and Noetherian rings.

Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.

Covers the concept of ideals in commutative rings and their role in ring homomorphisms.

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

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

Covers primary decomposition in Noetherian ideals and unique primary ideals.

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