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Quasi-C-Ehresmann Semigroups and Their Subclasses
Authors:Gang Li  YQ Guo  KP Shum
Institution:(1) Department of Mathematics, Shandong Normal University, Jinan 250014, P. R. China;(2) Department of Mathematics, Southwest China Normal University, Chongqing 400715, China;(3) Faculty of Science, The Chinese University of Hong Kong, Hong Kong, (SAR), China
Abstract:We introduce the concept of a quasi-C-Ehresmann semigroup. Some special quasi-C-Ehresmann semigroups will be considered. We will show that the quasi-C-Ehresmann semigroups are special U-semiabundant semigroups and orthodox U-liberal semigroups, which have been recently studied by several authors. Some characterization theorems of this new class of semigroups are obtained. Many results of quasi-C-semigroups in the literature can be extended to quasi-C-Ehresmann Semigroups.
Keywords:
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