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Related lectures (32)
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Primary Decomposition in Commutative Rings
Covers primary decomposition in commutative rings and its application in prime ideals.
Algebraic Subsets of A^1
Covers algebraic subsets of A^1 and ideals with a finite set of points.
Ring Operations: Ideals and Classes
Covers the operations in rings, ideals, classes, and quotient rings.
Hilberts Nullstellensatz and Ideals
Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.
Regular Implicit Functions
Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.
Primary Decomposition: Noetherian Ideal
Covers primary decomposition in Noetherian ideals and unique primary ideals.
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.
Affine Algebraic Varieties: Zariski Topology
Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.
Algebraic Geometry: Localization and Prime Ideals
Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.
Geometric Primary Decomposition
Covers radical ideals, Nullstellensatz, primary ideals, and algebraic sets.