Eventually Pointed Principally Ordered Regular Semigroups
2020 ◽
Vol 24
(2)
◽
pp. 139
Keyword(s):
An ordered regular semigroup, , is said to be principally ordered if for every there exists . A principally ordered regular semigroup is pointed if for every element, we have . Here we investigate those principally ordered regular semigroups that are eventually pointed in the sense that for all there exists a positive integer, , such that . Necessary and sufficient conditions for an eventually pointed principally ordered regular semigroup to be naturally ordered and to be completely simple are obtained. We describe the subalgebra of generated by a pair of comparable idempotents and such that .
2009 ◽
Vol 86
(2)
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pp. 177-187
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1996 ◽
Vol 38
(3)
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pp. 347-357
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1986 ◽
Vol 34
(1)
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pp. 127-132
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1980 ◽
Vol 29
(4)
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pp. 475-503
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2021 ◽
Vol 14
(2)
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pp. 380-395
2018 ◽
Vol 11
(1)
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pp. 35
1975 ◽
Vol 18
(1)
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pp. 155-156
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