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Related lectures (32)
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Chinese Idempotent Constructions and Properties
Explores Chinese idempotent constructions and their properties, including ideals and product characterization.
Chinese Remainder Theorem: Rings and Fields
Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.
Primary Decomposition: Noetherian Ideal
Covers primary decomposition in Noetherian ideals and unique primary ideals.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
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.
Ideal Class Group Relations
Covers the relations between the ideal class group and proper fractional ideals.
Fractions of Rings
Explores the concept of fractions of rings and their uniqueness in ideals and quotients.
Algebraic Subsets of A^1
Covers algebraic subsets of A^1 and ideals with a finite set of points.
Generators of Ideals
Explores the calculation of generators of ideals and their significance in mathematical operations.
Algebra: Fundamental Theorem
Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.