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Turkish Journal of Mathematics

Authors

AHMET HAMAL

DOI

10.3906/mat-1810-8

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

First Page

879

Last Page

893

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