دوره 8، شماره 1 - ( 2-1392 )
جلد 8 شماره 1 صفحات 90-75 |
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Ghorbani S, Torkzadeh L, Motamed S. $(odot, oplus)$-Derivations and $(ominus, odot)$-Derivations on $MV$-algebras. IJMSI 2013; 8 (1) :75-90
URL: http://ijmsi.ir/article-1-405-fa.html
URL: http://ijmsi.ir/article-1-405-fa.html
$(odot, oplus)$-Derivations and $(ominus, odot)$-Derivations on $MV$-algebras. مجله علوم ریاضی و انفورماتیک. 1392; 8 (1) :75-90
چکیده:
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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