Solvability of a triple of binary relations with an application to Green's relations.

Autor: Prinyasart, Thanakorn, Rakbud, Jittisak, Samphavat, Suchat
Zdroj: Discrete Mathematics, Algorithms & Applications; Dec2021, Vol. 13 Issue 6, p1-13, 13p
Abstrakt: In this paper, we introduce the notion of a solvable triple of binary relations on a set. This notion generalizes the notion of a regular relation and all other notions that are variants of the notion of the regularity, defined previously by many people. We also give some characterizations of the solvability of a triple of relations and use this to study Green's relations on the monoid of binary relations on a set. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index