On Semilattices of R-Ample Semigroups with Left Central Idempotents
2014 ◽
Vol 530-531
◽
pp. 617-620
Keyword(s):
In this article, the semilattice decomposition of r-ample semigroups with left central idempotents is given. By using this decomposition, we show that a semigroup is a r-ample semigroup with left central idempotents if and only if it is a strong semilattice of , where is a monoid and is a right zero band. As a corollary, the characterization theorem of Clifford semigroups is also extended from a strong semilattice of groups to a strong semilattice of right groups. These theories are the basis that the structure theorem of r-ample semigroups with left central idempotents can be established.
2008 ◽
Vol 01
(01)
◽
pp. 69-76
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2018 ◽
Vol 11
(3)
◽
pp. 589-597
2013 ◽
Vol 59
(1)
◽
pp. 209-218
◽
Keyword(s):