Geodesic
A structure theorem for right pp-semigroups with left central idempotents
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 63-75

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The concept of strong spined product of semigroups is introduced. We first show that a semigroup S is a rpp-semigroup with left central idempotents if and only if S is a strong semilattice of left cancellative right stripes. Then, we show that such kind of semigroups can be described by the strong spined product of a C-rpp-semigroup and a right normal band. In particular, we show that a semigroup is a rpp-semigroup with left central idempotents if and only if it is a right bin.
Keywords: right pp-semigroups, right zero bands, strong spined products 
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Ren, Xue; Shum, Kar-Ping. A structure theorem for right pp-semigroups with left central idempotents. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 63-75. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a5/