Frontiers of Mathematics in China >
On U-ample ω-semigroups
Received date: 30 Dec 2011
Accepted date: 08 Oct 2013
Published date: 01 Dec 2013
Copyright
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.
Siyao MA , Xueming REN , Ying YUAN . On U-ample ω-semigroups[J]. Frontiers of Mathematics in China, 2013 , 8(6) : 1391 -1405 . DOI: 10.1007/s11464-013-0337-3
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