Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1810-8
Keywords
Derivative MV-algebra, additive derivative operator, closure MV-algebra, topological Boolean algebra
First Page
879
Last Page
893
Recommended Citation
HAMAL, AHMET
(2019)
"Additive derivative and multiplicative coderivative operators on MV-algebras,"
Turkish Journal of Mathematics: Vol. 43:
No.
2, Article 22.
https://doi.org/10.3906/mat-1810-8
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss2/22
