| 完全零单半群的某些性质 |
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| 引用本文： | 崔菊芬,张建刚.完全零单半群的某些性质[J].上海师范大学学报(自然科学版),2013,42(2):120-124. |
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| 作者姓名： | 崔菊芬 张建刚 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | 国家自然科学基金项目，上海市教委创新项目 |
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| 摘 要： | 讨论了完全零单半群S的夹心阵P和结构群G的交换性对其性质的影响,推广了完全单半群中的相应结果,研究了当S中每个不含零的子带均为左零或者右零带时S中元素的特征,并进一步刻画了完全零单半群幂等元的逆元的分布情况.
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| 关 键 词： | 完全零单半群 完全单半群 夹心矩阵 |
| 收稿时间： | 2013/1/12 0:00:00 |
Some properties of completely 0-simple semigroups |
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| CUI Jufen and ZHANG Jiangang.Some properties of completely 0-simple semigroups[J].Journal of Shanghai Normal University(Natural Sciences),2013,42(2):120-124. |
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| Authors: | CUI Jufen and ZHANG Jiangang |
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| Institution: | (College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | We consider the properties of completely 0 - simple semigroup S when the sandwich matrix P and G are Abelian, and generalize the corresponding results for completely simple semigroups. The elements of S are characterized if the subband of S is a left zero band or a right zero band. And then we characterize the inverses of idempotents of S. |
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| Keywords: | completely 0 - simple semigroup completely simple semigroup sandwich matrix |
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