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Related lectures (7)
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Primary Decomposition: Noetherian Ideal
Covers primary decomposition in Noetherian ideals and unique primary ideals.
Geometric Primary Decomposition
Covers radical ideals, Nullstellensatz, primary ideals, and algebraic sets.
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.
Eigenvalues and Eigenvectors
Covers the concept of eigenvalues and eigenvectors in linear algebra, focusing on the properties of endomorphisms.
Primary Decomposition: Understanding Schemes
Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.
Primary Decomposition: Behaviour and Localisation
Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.