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. (Jun. 2016), 131 to 135. DOI:https://doi.org/10.23958/ijsei/vol02-i04/01.

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Copyright © 2016 R. Murugesan K. KanakSindhu P. Namasivayam this is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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