Dimension theory of rings

Related lectures (32)

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Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

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

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.

Explores dimension theory in topological spaces and closed subsets, including height interpretation and additivity.

Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.