$(odot, oplus)$-Derivations and $(ominus, odot)$-Derivations on $MV$-algebras

نویسندگان

  • L. Torkzadeh
  • S. Motamed
  • Sh. Ghorbani
چکیده مقاله:

In this paper, we introduce the notions of $(odot, oplus)$-derivations and $(ominus, odot)$-derivations for $MV$-algebras and discuss some related results. We study the connection between these derivations on an $MV$-algebra $A$ and the derivations on its boolean center. We characterize the isotone $(odot, oplus)$-derivations and prove that $(ominus, odot)$-derivations are isotone. Finally we determine the relationship between $(odot, oplus)$-derivation and $(ominus, odot)$-derivation for $MV$-algebras.

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عنوان ژورنال

دوره 8  شماره None

صفحات  75- 90

تاریخ انتشار 2013-05

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