Primary decomposition

Related lectures (20)

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Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.

Covers the properties of the ring of Eisenstein integers and its submodule structure.

Covers the decomposition of linear operators and properties of eigenspaces.

Explores orthonormal sequences, Bessel's inequality, and unique decompositions in Hilbert spaces.

Delves into the Jordan decomposition in Lie algebras of linear algebraic groups.

Introduces Noetherian modules and explores simple modules and composition series.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

Explores the relationship between Coulomb gas models and spin chains in quantum groups.