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Related lectures (14)
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Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Dedekind Rings: Integral Extensions and Noetherian Rings
Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.
Diffie-Hellman Cryptography: Basics
Introduces the basics of Diffie-Hellman cryptography, covering algorithms, monoids, and key agreement protocols.
Affine Algebraic Sets
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Abstract Concepts: Semi-Ring
Explores the concept of a commutative semi-ring based on set theory properties.
Irreducible Factors and Noetherian Rings
Discusses irreducible factors in rings and the properties of Noetherian rings.
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.
Local Noetherian Rings
Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.
Symbolic Powers: Interpretation and Applications
Covers the interpretation and applications of symbolic powers in algebraic structures, focusing on Krull's Hauptideal Satz and Noetherian rings.
Regularity and Noetherian Local Rings
Covers the concepts of regularity and Noetherian local rings in algebraic structures.
Irreducible Factors and Noetherian Rings
Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Local Rings and Minimal Primes
Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.
Ring Theory: Definitions and Examples
Introduces ring theory, covering definitions, examples, and subrings criteria.
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