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Lecture
Local Noetherian Rings
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Related lectures (32)
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Local Rings and Minimal Primes
Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.
Discrete Valuation Rings
Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.
Dedekind Rings: Integral Extensions and Noetherian Rings
Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Integral Domains: Factorisation and Noetherian Rings
Explores factorisation in Principal Ideal Domains and Noetherian rings, emphasizing the integral closure concept and the factorisation of ideals in Dedekind rings.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Rings and Modules
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Chinese Remainder Theorem: Rings and Fields
Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.
Regularity and Integrality
Covers regularity and integrality in local Noether rings and affine rings.
