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Related lectures (32)
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Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Chinese Idempotent Constructions and Properties
Explores Chinese idempotent constructions and their properties, including ideals and product characterization.
Primary and Secondary Ideals
Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.
Polynomials on a Field: Properties and Applications
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.
Rings: Operations and Ideals
Covers the operations and properties of rings, focusing on ideals and quotients.
Rings and Fields
Explores rings, fields, ideals, and their properties in algebraic structures.
The Legacy of Rome: Honor and Freedom
Discusses themes of honor and freedom as depicted in Gladiator.
Primary Decomposition in Rings
Explores primary decomposition in rings, focusing on primary ideals and their properties.
Primary Decomposition in Commutative Rings
Covers primary decomposition in commutative rings and its application in prime ideals.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.