On q
*-bisimple IC semigroups of type-E |
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| Authors: | Hui Chen Hui Huang Xiaojiang Guo |
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| Institution: | (1) Science and Technology College, Nanchang Hangkong University, Nanchang, Jiangxi, 330034, China;(2) Jiangxi Vocational Technical College of Industry and Trade, Nanchang, Jiangxi, 330038, China;(3) Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China |
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| Abstract: | A semigroup is called type-E if the band of its idempotents can be expressed as a direct product of a rectangular band and an ω-chain. For brevity, we call an IC *-bisimple quasi-adequate semigroup of type-E a q
*-bisimple IC semigroup of type-E. In this paper, we characterize q
*-bisimple semigroups by using some kind of generalized Bruck-Reilly extensions. As a consequence, some results concerning
*-bisimple type-A
ω-semigroups given by Asibong-Ibe (Semigroup Forum 31:99–117, 1985) are generalized. |
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| Keywords: | IC quasi-adequate semigroups Rectangular band ω -chain |
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