Abstract

In this paper we prove that a semiderivation f on a semiprime semiring S associated with a function g: S → S is an ordinary derivation or of the form f (x) = p(x − g(x)) for all x ∈ S and p is an element of the extended centroid of S.

AMS Subject Classification: 16Y30.

Keywords: Semiring, Prime semiring, Semiprime semiring, derivation, semiderivation, ideal, centroid, extended centroid.

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 How to Cite
[1]
Murugesan, R., KanakSindhu, K. and Namasivayam, P. 2016. Semiderivations on Semiprime Semirings. International Journal of Science and Engineering Invention. 2, 04 (Jun. 2016), 131 to 135. DOI:https://doi.org/10.23958/ijsei/vol02-i04/01.

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