| 一个Clifford半群通过另一个附加零元的Clifford半群的理想扩张 |
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| 引用本文： | 朱用文.一个Clifford半群通过另一个附加零元的Clifford半群的理想扩张[J].烟台大学学报(自然科学与工程版),2004,17(4):243-246. |
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| 作者姓名： | 朱用文 |
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| 作者单位： | 烟台大学,数学与信息科学系,山东,烟台,264005 |
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| 基金项目： | 国家自然科学基金资助项目(10301004). |
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| 摘 要： | 针对Clifford半群来解决理想扩张问题，通过Clifford半群及其平移壳的Clifford表示，最终完全确定了一个Clifford半群通过另一个附加零元的Clifford半群的理想扩张．作为应用，我们也对Clifford半群的一个重要特例——半格与群的次直积构成的正则半群完全确定了相应的理想扩张．
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| 关 键 词： | 逆半群 Clifford半群 次直积 理想扩张 |
| 文章编号： | 1004-8820(2004)04-0243-04 |
Ideal Extensions of a Clifford Semigroup by Another with a Zero Adjoined |
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| ZHU Yong-wen.Ideal Extensions of a Clifford Semigroup by Another with a Zero Adjoined[J].Journal of Yantai University(Natural Science and Engineering edirion),2004,17(4):243-246. |
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| Authors: | ZHU Yong-wen |
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| Abstract: | This paper investigates the ideal extension problem for Clifford semigroups by means of the Clifford representations of a Clifford semigroup and of its translational hull. The ideal extensions of a Clifford semigroup by another with a zero adjoined are completely determined. As an application, the same is done for an important special example of Clifford semigroups, i.e.,the regular semigroup which is formulated by the semidirect product of a semilattice and a group. |
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| Keywords: | inverse semigroup Clifford semigroup semidirect product idealextension |
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