• PRIME SEMIRINGS ADMITTING GENERALIZED DERIVATIONS
Abstract
Let S be a prime semiring. Motivated by some results on derivations in rings, in [2], we defined the notion of derivations and generalized derivations on semirings and investigated some simple and interesting results on the derivations in semirings. In this paper, we discuss the commutativity of S with generalized derivation F associated with the derivation D.
Keywords
Semiring, Derivation, Generalized derivation, commutativity.
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