Engineering↗
Simple Rings, Left and Right Ideals, and Matrix Structure
Noncommutative rings require side-sensitive ideals and lead to simple rings whose internal structure is closely connected with endomorphism and matrix algebras.
Every page in the KEVOS library tagged centre. 3 pages.
Noncommutative rings require side-sensitive ideals and lead to simple rings whose internal structure is closely connected with endomorphism and matrix algebras.
Functionally complete algebras, the polynomial clone, the characterisation via simplicity and the discriminator as a polynomial, and the contrast with primality.
The centre of an arbitrary algebra, its first-order definition, the characterisation of algebras with Z(A) = ∇ as polynomially equivalent to modules, and the commutator programm…