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In this paper, we consider derivation of an ordered $\Gamma$-semiring and introduce the notion of reverse derivation on ordered $\Gamma$-semiring. Also, we obtain some interesting related properties. Let $I$ be a nonzero ideal of prime ordered $\Gamma$-semiring $M$ and let $d$ be a nonzero derivation of $M.$ If $\Gamma$-semiring $M$ is negatively ordered, then $d$ is nonzero on $I.$
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참고문헌 (10)
참고문헌 신청
M. Bresar / 1990 / On the left derivations and related mappings / Proc. Math Soc 10:7~16
김경호 / 2013 / On right derivations of incline algebras / 충청수학회지 26(4):683~690
K. H. Kim / 2015 / On generalized right derivations of incline algebras / Gulf J. Math 3:127~132
M. Murali Krishna Rao / 1995 / Γ-semiring-I / Southeast Asian Bull Math 19:45~54
M. Murali Krishna Rao / 1997 / Γ-semiring-II / Southeast Asian Bull Math 21:45~54
김경호 / 2013 / On right derivations of incline algebras / 충청수학회지 26(4):683~690
K. H. Kim / 2015 / On generalized right derivations of incline algebras / Gulf J. Math 3:127~132
M. Murali Krishna Rao / 1995 / Γ-semiring-I / Southeast Asian Bull Math 19:45~54
M. Murali Krishna Rao / 1997 / Γ-semiring-II / Southeast Asian Bull Math 21:45~54
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