Title of article :
A Note on Naturally Ordered Semigroups of Partial Transformations Preserving an Equivalence
Author/Authors :
Sun ، Lei School of Mathematics and Physics - Yancheng Institute of Technology
Abstract :
In this note, we give a necessary and sufficient condition for elements of the naturally ordered transformation semigroup PE (X) to be right compatible. This gives an answer to the problem raised by Pei and Deng (Commun Algebra 41(9):3308–3324, 2013).
Keywords :
Partial transformation semigroups , Natural partial order , Right compatibility
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
