| 弱可乘纯正断面 |
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| 引用本文： | 孔祥军,王蓓.弱可乘纯正断面[J].曲阜师范大学学报,2006,32(4):43-45. |
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| 作者姓名： | 孔祥军 王蓓 |
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| 作者单位： | [1]曲阜师范大学数学科学学院 [2]曲阜师范大学职教学院,山东省曲阜市273165 |
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| 基金项目： | 曲阜师范大学校科研和教改项目 |
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| 摘 要： | 引入了纯正断面是可乘的和弱可乘的概念，证明了正则半群的纯正断面是可乘的充要条件是它是弱可乘的且是拟理想．研究了弱可乘纯正断面的一些性质，给出了纯正断面是弱可乘的两个等价条件．
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| 关 键 词： | 逆断面 纯正断面 拟理想 |
| 文章编号： | 1001-5337（2006）04-0043-03 |
| 收稿时间： | 2005-09-06 |
| 修稿时间： | 2005-09-06 |
On Weakly Multiplicative Orthodox Transversals |
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| KONG Xiang-jun,WANG Pei.On Weakly Multiplicative Orthodox Transversals[J].Journal of Qufu Normal University(Natural Science),2006,32(4):43-45. |
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| Authors: | KONG Xiang-jun WANG Pei |
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| Institution: | 1, School of Mathematical Sciences; 2, School of Vocational Education, Qufu Normal University, 273165, Qufu, Shandong. PRC |
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| Abstract: | In this paper, the concept of multiplicativity and weakly multiplicativity orthodox transversal are introduced. An orthodox transversal of a regular semigroup is multiplieative if and only if it is both weakly multiplieative and a quasi-ideal is obtained. Some properties on weakly multiplieative orthodox transversal are given, and two equivalent conditions for orthodox transversals which are weakly multiplieatire are obtained. |
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| Keywords: | inverse transversal orthodox transversal quasi-ideal |
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