Dimension Theory of Rings

Related lectures (32)

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Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores operations on ideals and structure theorems in commutative rings.

Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

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

Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.

Explores rings, domains, fields, and ideals, with a focus on constructions and properties.

Covers the concept of ideals in commutative rings and their role in ring homomorphisms.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

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