IMI/Publicaţii/QRS/Ediţii/QRS v.21, n.1 (29), 2013/

On classes of regularity in an ordered semigroup

Authors: T. Changphas


Let m, n be nonnegative integers. An element a in an ordered semigroup (S,<) is said to be (m,n)-regular if there exists x in S such that a< amxan. This paper gives necessary and sufficient conditions for the set of all (m,n)-regular elements of S to be a subsemigroup of S. The results obtained extend the results on semigroups without order.


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