Multiplicative maps on triangular \(n\)-matrix rings. (English) Zbl 1318.16038
Summary: We establish the additivity of \(m\)-multiplicative maps and \(m\)-multiplicative derivations on a new class of rings which we call triangular \(n\)-matrix rings that generalizes the class of triangular matrix rings.
MSC:
16W20 | Automorphisms and endomorphisms |
16W25 | Derivations, actions of Lie algebras |
16S50 | Endomorphism rings; matrix rings |
47B47 | Commutators, derivations, elementary operators, etc. |