Tense like equality algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.

2 Department of Mathematics, Shahid Beheshti University, Tehran, Iran.

10.29252/cgasa.13.1.143

Abstract

In 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.

Keywords

References

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Categories and General Algebraic Structures with Applications
Volume 13, Issue 1
July 2020
Pages 143-166

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