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Lecture
Primary and Secondary Ideals
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Related lectures (32)
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Generators of Ideals
Explores the calculation of generators of ideals and their significance in mathematical operations.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Primary Decomposition in Rings
Explores primary decomposition in rings, focusing on primary ideals and their properties.
Ring Constructions: Structure Theorems
Explores operations on ideals and structure theorems in commutative rings.
Polynomials on a Field: Properties and Applications
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.
Principal Ideal Domains: Structure and Homomorphisms
Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.
Algebraic Geometry: Localization and Prime Ideals
Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.
Factorisation in PIDs
Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
Rings: Operations and Ideals
Covers the operations and properties of rings, focusing on ideals and quotients.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.