Title of article :
A NEW EXAMPLE OF STRONGLY pi-INVERSE MONOIDS
Author/Authors :
Karpuz, Eylem Guzel Karamanoglu Mehmetbey University,Yunus Emre Campus - Kamil Ozdag Science Faculty - Department of Mathematics, Turkey , Cevik, Ahmet Sinan Selcuk University - Faculty of Science Campus - Department of Mathematics, Turkey
Abstract :
In [1], Ate¸s defined the semidirect product version of the Schutzenberger product for any two monoids, and examined its regularity. Since this is a new product and there are so many algebraic properties that need to be checked for it, in this paper we determine necessary and sufficient conditions for this new version to be strongly pi-inverse, and then give some results.
Keywords :
Sch¨utzenberger product , Pi , inverse monoid , Regular monoid
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
