( , ⊕)-Derivations and ( , )-Derivations on MV-algebras
Lida Torkzadeh, Somayeh Motamed · 2013
In this paper, we introduce the notions of (� , ⊕)-derivations and (� , � )-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 iso- tone (� , ⊕)-derivations and prove that (� , � )-derivations are isotone. Fi- nally we determine the relationship between (� , ⊕)-derivation and (� , � )- derivation for MV-algebras.