| Hamilton半群的自同态半群 |
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| 引用本文： | 张化生. Hamilton半群的自同态半群[J]. 科技导报(北京), 2011, 29(18): 62-64. DOI: 10.3981/j.issn.1000-7857.2011.18.009 |
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| 作者姓名： | 张化生 |
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| 作者单位： | 聊城大学数学科学学院, 山东聊城 252059 |
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| 基金项目： | 国家青年科学基金项目(11001115) |
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| 摘 要： | Hamilton半群是一种重要的代数结构。针对Hamilton半群的特点，利用其半群性质和图论结果对其自同态的结构进行了研究。首先定义了其自同态的一种乘法运算，并证明了Hamilton半群的自同态也构成一个Hamilton半群。其次，在引入半序关系之后，给出了Hamilton半群的自同态半群的一个图论表示，即关于半序关系的覆盖图是有向森林。
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| 关 键 词： | Hamilton半群 自同态 Hasse图 有向森林 |
The Endomorphism Simegroup of Hamilton Semigroup |
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| ZHANG Huasheng School of Mathematics Science,Liaocheng University,Liaocheng ,Sh,ong Province,China. The Endomorphism Simegroup of Hamilton Semigroup[J]. Science & Technology Review, 2011, 29(18): 62-64. DOI: 10.3981/j.issn.1000-7857.2011.18.009 |
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| Authors: | ZHANG Huasheng School of Mathematics Science Liaocheng University Liaocheng Sh ong Province China |
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| Affiliation: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong Province, China |
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| Abstract: | As a well-known semigroup, Hamilton semigroup acts on continuous functions in an algebra system. According to the characteristics of Hamilton semigroup, some basic properties of the semigroup and graph theoretical representation are used to investigate the structure of endomorphism to Hamilton semigroup. First of all, a new multiplication, which can solve the problem with computing endomorphism for Hamilton semigroup, is defined and then the main result that the endomorphism of Hamilton semigroup is also a ... |
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| Keywords: | Hamilton semigroup endomorphism Hasse graph oriented forest |
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