Prime ideals and local rings

Related lectures (32)

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Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Covers the interpretation and applications of symbolic powers in algebraic structures, focusing on Krull's Hauptideal Satz and Noetherian rings.

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

Covers the operations in rings, ideals, classes, and quotient rings.

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

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

Covers selected mathematical topics including numbers, approximations, algebraic structures, limits, and series.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.