| 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. |
| 关键词: 完全零单半群 完全单半群 夹心矩阵 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金项目(11201305,11001046);上海市教委创新项目(12YZ081) |
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| Some properties of completely 0-simple semigroups |
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CUI Jufen, ZHANG Jiangang
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College of Mathematics and Sciences,Shanghai Normal University
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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. |
| Key words: completely 0-simple semigroup completely simple semigroup sandwich matrix |
