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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1006,
author = {Xue Ming Ren and Kar-Ping Shum},
title = {A structure theorem for right pp-semigroups with left central idempotents},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {20},
year = {2000},
pages = {63-75},
zbl = {0966.20027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1006}
}
Xue Ming Ren; Kar-Ping Shum. A structure theorem for right pp-semigroups with left central idempotents. Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000) pp. 63-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1006/
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