J4 ›› 2010, Vol. 23 ›› Issue (6): 16-19.
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CHEN Rui-Jing, HU Xin-Zhai, TIAN Hong-Yan
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Abstract:
We present the concept of B*- pure ordered semigroups and investigate its properties and some equivalent conditions. We eventually derive the relationship between the semilattice of tsimple ordered semigroups and that of the B*-pure ordered semigroups. We therefore generalize the property of B*- pure semigroups and draw a conclusion that a semigroup is the semilattice of ordered groups on the condition that a semigroup is normal and regular.
Key words: B*-pure ordered semigroups;normal, regularity
CLC Number:
O152.7
CHEN Rui-Jing, HU Xin-Zhai, TIAN Hong-Yan. On B*-Pure Ordered Semigroups[J].J4, 2010, 23(6): 16-19.
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