- Turkish Journal of Mathematics
- Vol: 43 Issue: 2
- Additive derivative and multiplicative coderivative operators on MV-algebras
Additive derivative and multiplicative coderivative operators on MV-algebras
Authors : Ahmet Hamal
Pages : 879-893
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper we introduce derivative MV-algebras (or MV-algebras with additive derivative operators). We indicate that the derivative MV-algebras are generalizations of closure MV-algebras. Then we investigate the connection between additive derivative operators on MV-algebras and the derivative operators on the greatest Boolean subalgebras of MV-algebras. Finally, we study some properties of the derivative MV-algebras.Keywords : Derivative MV-algebra, additive derivative operator, closure MV-algebra, topological Boolean algebra