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Lecture
Local Rings and Minimal Primes
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Related lectures (32)
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Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Dedekind Rings: Integral Extensions and Noetherian Rings
Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.
Rings and Modules
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Local Noetherian Rings
Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.
Simple Modules: Schur's Lemma
Covers simple modules, endomorphisms, and Schur's lemma in module theory.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Finite Abelian Groups & Rings
Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.
Dimension theory of rings
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Integral Closures: Eisenstein Primes
Covers integral closures, focusing on Eisenstein primes and their properties.
