Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A NOTE ON DERIVATIONS OF ORDERED 𝚪-SEMIRINGS

  • Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
  • Received : 2019.07.16
  • Accepted : 2019.08.06
  • Published : 2019.09.30
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Abstract

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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References

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