The natural partial order on an abundant semigroup
1987 ◽
Vol 30
(2)
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pp. 169-186
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In this paper we will study the properties of a natural partial order which may bedefined on an arbitrary abundant semigroup: in the case of regular semigroups werecapture the order introduced by Nambooripad [24]. For abelian PP rings our order coincides with a relation introduced by Sussman [25], Abian [1, 2] and further studied by Chacron [7]. Burmistroviˇ [6] investigated Sussman's order on separative semigroups. In the abundant case his order coincides with ours: some order theoretic properties of such semigroups may be found in a paper by Burgess [5].
1980 ◽
Vol 29
(4)
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pp. 475-503
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1980 ◽
Vol 23
(3)
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pp. 249-260
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1983 ◽
Vol 26
(2)
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pp. 213-220
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2021 ◽
Vol 1764
(1)
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pp. 012046
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2014 ◽
Vol 91
(1)
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pp. 104-115
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1973 ◽
Vol 15
(4)
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pp. 441-460
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1972 ◽
Vol 13
(4)
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pp. 451-455
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