Multiplicative anti-derivations of generalized n-matrix rings.

In this paper, we prove that every multiplicative anti-derivation map of an arbitrary generalized n -matrix ring is additive. Even more, as consequence, we get the same conclusion for the class of triangular n -matrix rings, unital prime rings with a nontrivial idempotent, standard operator algebras and factor von Neumann algebras. [ABSTRACT FROM AUTHOR]