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On U-ample ω-semigroups |
Siyao MA, Xueming REN( ), Ying YUAN |
| Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an 710055, China |
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Abstract The investigation of U-ample ω-semigroups is initiated. After obtaining some properties of such semigroups, a structure of U-ample ω-semigroups is established. It is proved that a semigroup is a U-ample ω-semigroup if and only if it can be expressed by WBR(T, θ), namely, the weakly Bruck-Reilly extensions of a monoid T. This result not only extends and amplifies the structure theorem of bisimple inverse ω-semigroups given by N. R. Reilly, but also generalizes the structure theorem of ?-bisimple type A ω-semigroups given by U. Asibong-Ibe in 1985.
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| Keywords
Bisimple inverse ω-semigroups
weakly U-abundant semigroups
Ehresmann semigroups
U-ample ω-semigroups
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Corresponding Author(s):
REN Xueming,Email:xmren@xauat.edu.cn
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Issue Date: 01 December 2013
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