%0 Journal Article
	%A Mahdiyeh Abbasi and  Akbar Golchin
	%D 2015
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 106, 2015
	%T Characterization of Monoids by a Generalization of Flatness Property
	%U https://publications.waset.org/pdf/10002719
	%V 106
	%X It is well-known that, using principal weak flatness
property, some important monoids are characterized, such as regular
monoids, left almost regular monoids, and so on. In this article, we
define a generalization of principal weak flatness called GP-Flatness,
and will characterize monoids by this property of their right (Rees
factor) acts. Also we investigate new classes of monoids called
generally regular monoids and generally left almost regular monoids.
	%P 623 - 626