2007•International Mathematical ForumOpen access
The \Delta-product structure of right C-qrpp semigroups
D.P.R.V. Subba Rao, Xiaojiang Guo
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Abstract
As an analogue of right C-rpp semigroups and a dual of left C-wrpp semigroups, right C-qrpp semigroups were defined and investigated by Rao-Guo [10]. In this paper, we continue the research of such semigroups and obtain a structure of right C-qrpp semigroups. It is proved that a semigroup is a right C-qrpp semigroup if and only if it is isomorphic to a right Δ-product of a C-wrpp semigroup and a right regular band.