On the one-sided orderability for semigroups

A. Baxhaku and M. Aslanski
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 6, 2000, Number 2, Pages 45—55
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Authors and affiliations

A. Baxhaku
Faculty of Natural Sciences,
University, Tirana

M. Aslanski
Faculty of Natural Sciences
South-West University-Blagoevgrad, Bulgaria


In the papers of Merlier [5] and Saito [7] there are given some necessary and sufficient conditions on the linear orderability of the bands. Similar questions on semigroups are treated by Jordjev, Todorov [4] and Todorov [9]. In the last paper there are studied for the first time the one-sided orderable semigroups. We considerably enlarge the last studies, giving conditions under which a given semigroup should not be linearly orderable, (being perhaps left or right stable orderable) and conditions when a semigroup is not one sided orderable, or when it is no-one-sided orderable.


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Baxhaku, A. & Aslanski, M. (2000). On the one-sided orderability for semigroups. Notes on Number Theory and Discrete Mathematics, 6(2), 45-55.

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