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Lecture
Primary Decomposition in Rings
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Related lectures (32)
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Hilberts Nullstellensatz and Ideals
Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.
Separable Extensions: Dedekind Rings
Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.
Fractions of Rings
Explores the concept of fractions of rings and their uniqueness in ideals and quotients.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.
Module Structure: Submodules and Ring Ideals
Explains submodules, generated modules, and ring ideals in module structure.
Regular Implicit Functions
Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.
Rings: Operations and Ideals
Covers the operations and properties of rings, focusing on ideals and quotients.
Module Theory: Chain Conditions
Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.
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.
Ideals and PPCM
Covers the concept of ideals in polynomial rings and their properties.
