| 关于所有强平坦右S-系是正则系的幺半群(英) |
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| 引用本文： | 乔虎生.关于所有强平坦右S-系是正则系的幺半群(英)[J].数学研究与评论,2006,26(4):720-724. |
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| 作者姓名： | 乔虎生 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 基金项目： | the National Natural Science Foundation of China(10171082)and by NWNU-KJCXGC212 |
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| 摘 要： | 本论文考虑了所有强平坦右S-系是正则系的幺半群的刻画,证明了所有强平坦右S-系是正则S-系当且仅当S是右PSF幺半群并且S的每一个左coilpasible子幺半群包含左零元．该结果对Kilp和Knauer在文献7]中的问题给出了一个新的回答．
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| 关 键 词： | 强平坦S-系 正则S-系 |
| 文章编号： | 1000-341X(2006)04-0720-05 |
| 收稿时间： | 11 25 2004 12:00AM |
| 修稿时间： | 2004年11月25 |
On Monoids over which All Strongly Flat Right S-Acts Are Regular |
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| QIAO Hu-sheng.On Monoids over which All Strongly Flat Right S-Acts Are Regular[J].Journal of Mathematical Research and Exposition,2006,26(4):720-724. |
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| Authors: | QIAO Hu-sheng |
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| Institution: | College of Math. \& Info. Sci., Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | This paper investigates the characterizations of monoids over which all strongly flat right S-acts are regular.It is shown that all strongly fiat right S-acts are regular if and only if S is a right PSF monoid and every ]eft collapsible submonoid of S contains a left zero. This result gives a new answer to the problem in Kilp and Knauer. |
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| Keywords: | strong flat S-acts regular S-acts |
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