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The structure of left C-rpp semigroups
Authors:Guo Yuqi  K P Shum  Zhu Pinyu
Institution:(1) Department of Mathematics, Yunnan University, Kunming, China;(2) Department of Mathematics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong;(3) Department of Mathematics, Qinghai Normal University, Xining, China
Abstract:This paper studies the class of left Clifford-rpp semigroups and investigates the structure of their semi-spined products and semilattice decompositions. These semigroups are generalizations of left Clifford semigroups and Clifford-rpp semigroups. We also discuss some special cases such as when a semilattice decomposition becomes a strong semilattice decomposition and a semi-spined product becomes a spined product. Communicated by Boris Schein This research is jointly supported by a grant of National Natural Science Foundation of China and a small project grant #200.600.380 of CUHK.
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