Lectures related to Center (ring theory)

Introduces sub-rings and morphisms in ring theory, emphasizing stability by multiplication.

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

Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.

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

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

Explores factorisation in Principal Ideal Domains and the properties of prime numbers.

Introduces ring theory, covering definitions, examples, and subrings criteria.