Study of multiplicative b-generalized derivation and its additivity

Our intention in this paper is to prove the following. Let R be a ring with an idempotent element (۰, ۱ ̸=)e and f be a multiplicative b-generalized derivation on R. Then we show that f is additive byimposing certain conditions on the ring R.

کلیدواژه ها:

Associative ring ، Derivation ، multiplicative b-generalized derivation ، pierce decomposition