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Lecture
Division Rings and Ideals
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Related lectures (32)
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Polynomials on a Field: Properties and Applications
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.
Ideals and PPCM
Covers the concept of ideals in polynomial rings and their properties.
Irreducible Factors and Noetherian Rings
Discusses irreducible factors in rings and the properties of Noetherian rings.
Dedekind Rings and Fractional Ideals
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Localization and Ideals
Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.
Irreducible Factors and Noetherian Rings
Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
Regular Implicit Functions
Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.
Chinese Idempotent Constructions and Properties
Explores Chinese idempotent constructions and their properties, including ideals and product characterization.
