Idempotent Elements and Central Orthogonal

Related lectures (32)

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

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

Explores operations on ideals and structure theorems in commutative rings.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Covers primary decomposition in commutative rings and its application in prime ideals.

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.

Discusses irreducible factors in rings and the properties of Noetherian rings.

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

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