TY - JOUR JF - IJMSI JO - IJMSI VL - 8 IS - 1 PY - 2013 Y1 - 2013/5/01 TI - $(odot, oplus)$-Derivations and $(ominus, odot)$-Derivations on $MV$-algebras TT - N2 - 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. SP - 75 EP - 90 AU - Ghorbani, Sh. AU - Torkzadeh, L. AU - Motamed, S. AD - KW - MV - algebra KW - Derivation KW - Boolean algebra KW - Fix point KW - Ideal. UR - http://ijmsi.ir/article-1-405-en.html DO - 10.7508/ijmsi.2013.01.008 ER -