Abstract
In this paper, we introduce partial orders on the set of all idempotents of a \(\Gamma \)-semigroup and introduce a natural partial order on a regular \(\Gamma \)-semigroup. We determine when the partial orders are compatible with respect to the multiplication. Finally, we find the least primitive congruence on a regular \(\Gamma \)-semigroup.
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This work is supported by Office of the Higher Education Commission (OHEC), Thailand.
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Communicated by Kar Ping Shum.
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Chunse, N., Siripitukdet, M. The Natural Partial Order on Regular \(\Gamma \)-Semigroups. Bull. Malays. Math. Sci. Soc. 39, 669–681 (2016). https://doi.org/10.1007/s40840-015-0132-2
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DOI: https://doi.org/10.1007/s40840-015-0132-2