tense like equality algebras

In this paper, first we define the notion of involutive operatoron bounded involutive equality algebras and by using it, we introduce a newclass of equality algebras that we called it a tense like equality algebra. thenwe investigate some properties of tense like equality algebra. for two involutivebounded equality algebras and an equality homomorphism betweenthem, we prove that the tense like equality algebra structure can be transferby this equality homomorphism. specially, by using a bounded involutiveequality algebra and quotient structure of it, we construct a quotient tenselike equality algebra. finally, we investigate the relation between tense likeequality algebras and tense mv-algebras.