Shahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-585313120200701Tense like equality algebras14316687465ENMohammad AliHashemiDepartment of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.RajabaliBorzooeiDepartment of Mathematics, Shahid Beheshti University, Tehran, Iran.Journal Article20190423In this paper, first we define the notion of involutive operator on bounded involutive equality algebras and by using it, we introduce a new class of equality algebras that we called it a tense like equality algebra. Then we investigate some properties of tense like equality algebra. For two involutive bounded equality algebras and an equality homomorphism between them, we prove that the tense like equality algebra structure can be transfer by this equality homomorphism. Specially, by using a bounded involutive equality algebra and quotient structure of it, we construct a quotient tense like equality algebra. Finally, we investigate the relation between tense like equality algebras and tense MV-algebras.http://cgasa.sbu.ac.ir/article_87465_fbdaeb016643b69d9b4700b7777de277.pdf