| 关于循环系的强平坦覆盖的一个推广(英文) |
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| 引用本文： | 乔虎生,赵梅梅.关于循环系的强平坦覆盖的一个推广(英文)[J].兰州大学学报(自然科学版),2011(3). |
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| 作者姓名： | 乔虎生 赵梅梅 |
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| 作者单位： | 西北师范大学数学与信息科学学院; |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10901129); Specialized Research Fund for the Doctoral Program of Higher Education of China(20096203120001) |
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| 摘 要： | 设S是幺半群,I是S的一个理想.利用理想I定义了条件(E_I),则条件(E)成为它的特殊情形.给出了循环系满足条件(E_I)的充分必要条件,并研究了所有循环系具有(E_I)-覆盖的幺半群的刻画.
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| 关 键 词： | 幺半群 循环系 强平坦覆盖 推广 条件(E) |
On a generalization of strongly flat covers of cyclic acts |
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| QIAO Hu-sheng,Zhao Mei-mei College of Mathematics , Information Science,Northwest Normal University,Lanzhou ,China.On a generalization of strongly flat covers of cyclic acts[J].Journal of Lanzhou University(Natural Science),2011(3). |
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| Authors: | QIAO Hu-sheng Zhao Mei-mei College of Mathematics Information Science Northwest Normal University Lanzhou China |
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| Institution: | QIAO Hu-sheng,Zhao Mei-mei College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China |
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| Abstract: | Let S be a monoid and I an ideal of S.Using the ideal I the condition(E_I) was defined and the condition(E) was found to be a special case of condition(E_I).The necessary and sufficient condition of cyclic act satisfying condition(E_I) was given and the characterization of monoids was investigated,over which every cyclic act had a(E_I)-cover. |
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| Keywords: | monoid cyclic acts strongly flat cover generalization condition(E) |
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