TY - JOUR
ID - 87465
TI - Tense like equality algebras
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Hashemi, Mohammad Ali
AU - Borzooei, Rajabali
AD - Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
AD - Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Y1 - 2020
PY - 2020
VL - 13
IS - 1
SP - 143
EP - 166
KW - Equality algebra
KW - tense like equality algebra
KW - MV-algebra
DO - 10.29252/cgasa.13.1.143
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_87465.html
L1 - https://cgasa.sbu.ac.ir/article_87465_fbdaeb016643b69d9b4700b7777de277.pdf
ER -