Zero sets in MV −algebras of continuous functions

In this article, we study MV −algebra of continuous functions C(X) and their zero sets in X. In particular, the properties of zero sets of complemented element in C(X) have been investigated. We study interior of zero sets and examine their relationship with minimal prime ideals of C(X). Also, a topological basis for X is introduced by the interior of zero sets. In addition, we obtain the condition that the union of two zero sets is equal to topological space X.

Keywords:

MV −algebra , zero set , zero divisor , complemented element