Left and Right Magnifying Elements in Certain Linear Transformation Semigroups
Pongsan Prakitsri · Thai Journal of Mathematics · 2020
An element a in a semigroup S is called a left (right) magnifying element in S if aM = S ( Ma = S ) for some proper subset M of S . In this paper, we determine whether or not the linear transformation semigroups with infinite nullity and co-rank have left and right magnifying elements, and provide a characterization if such elements exist.