On Legal Semigroups |
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| Authors: | K P Shum Pingyu Zhu |
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| Institution: | (1) Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China (SAR);(2) Department of Mathematics, Qinghai Normal University, Xining, Qinghai, 810008, China |
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| Abstract: | A new class of semigroups with a two variable regularity law is introduced. These semigroups are non-regular semigroups but they are closely related to regular semigroups. The local and global structures of this class of semigroups are investigated.AMS Subject Classification (2000): 20M10Partially supported by a Chinese University of Hong Kong Direct Research grant, Hong Kong (98/99) # 2060152.Partially supported by a grant of the National Science Foundation, China. |
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| Keywords: | regular semigroups legal semigroups semilattice of rectangular bands |
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