Ortho-u-monoids |
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| Authors: | Chun Mei Gong Yu Qi Guo K P Shum |
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| Institution: | 1.Department of Mathematics,Southwest University,Chongqing,P. R. China;2.Department of Mathematics,Xi’an University of Architecture and Technology,Xi’an,P. R. China;3.Department of Mathematics,The University of Hong Kong,Hong Kong,P. R. China |
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| Abstract: | In this paper, we study the class of ortho-u-monoids which are generalized orthogroups within the class of E(S)-semiabundant semigroups. After introducing the concept of (∼)-Green’s relations, and obtaining some important properties
of (∼)-Green’s relations and super E(S)-semiabundant semigroups, we have given the semilattice decomposition of ortho-u-monoids and a structure theorem for regular
ortho-u-monoids. The main techniques that we used in the study are the (∼)-Green’s relations, and the semi-spined product
of semigroups. |
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| Keywords: | （-）-Green＇s relations super E（S）-semiabundant semigroups ortho-u-monoids semi-spin- ed products |
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