A STRUCTURE THEOREM FOR PERFECT ABUNDANT SEMIGROUPS
2008 ◽
Vol 01
(01)
◽
pp. 69-76
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Keyword(s):
The direct product of a cancellative monoid and a rectangular band is called a can-cellative plank. In this paper, we describe the semigroups which can be expressed as a strong semilattice of cancellative planks. Our result not only generalizes the well known 1951 Clifford theorem for completely regular semigroups having central idempotents, but also the theorem for C-rpp monoids, that is, left abundant monoids having central idempotents, given by Fountain in 1977. Some recent results of the authors concerning rpp semigroups belonging to a class we call perfect are strengthened.
1987 ◽
Vol 99
(4)
◽
pp. 617-617
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Keyword(s):
1983 ◽
Vol 35
(2)
◽
pp. 227-235
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1990 ◽
Vol 49
(1)
◽
pp. 1-23
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Keyword(s):
2019 ◽
Vol 12
(04)
◽
pp. 1950058