Left and Right Magnifying Elements in the Semigroup of all Binary Relations
Watchara Teparos, Soontorn Boonta, Thitiya Theparod · European Journal of Pure and Applied Mathematics · 2020
An element a of a semigroup S is called left [right] magnifying if there exists a proper subset M of S such that S = aM [S = M a]. Let X be a nonempty set and BX the semigroup of binary relations on X. In this paper, we give necessary and sufficient conditions for elements in BX to be left or right magnifying.