On orthodox P-restriction semigroups
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The investigation of orthodox [Formula: see text]-restriction semigroups was initiated by Jones in 2014 as generalizations of orthodox [Formula: see text]-semigroups. The aim of this paper is to further study orthodox [Formula: see text]-restriction semigroups based on the known results of Jones. After establishing a construction theorem for orthodox [Formula: see text]-restriction semigroups, we introduce proper [Formula: see text]-restriction semigroups (which are necessarily orthodox) and prove that every (finite) orthodox [Formula: see text]-restriction semigroup has a (finite) proper cover. Our results enrich and extend existing results for restriction semigroups and orthodox [Formula: see text]-semigroups.
2012 ◽
Vol 22
(03)
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pp. 1250024
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2013 ◽
Vol 23
(06)
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pp. 1289-1335
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2018 ◽
Vol 106
(1)
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pp. 31-55
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2018 ◽
Vol 55
(2)
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pp. 153-173
2018 ◽
Vol 105
(2)
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pp. 173-200
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