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IMI/Publicaţii/QRS/Ediţii/QRS v.21, n.2 (30), 2013/

Ascending chain conditions on principal left and right ideals for semidirect products of ordered semigroups

Authors: T. Changphas

Abstract

An ordered semigroup S is said to satisfy the ascending chain condition for principal left ideals (respectively, principal right ideals) of S if there does not exist an infinite strictly ascending chain of principal left ideals (respectively, principal right ideals) of S. In this paper, the ascending chain condition on principal left and right ideals for semidirect products of ordered semigroups are considered. The results obtained extend the results on semigroups.

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