| 图半群中的相似性 |
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| 引用本文： | 朱用文.图半群中的相似性[J].烟台大学学报(自然科学与工程版),2002,15(2):79-83. |
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| 作者姓名： | 朱用文 |
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| 作者单位： | 烟台大学,数学与信息科学系,山东,烟台,264005 |
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| 基金项目： | 国家自然科学基金资助项目 (10 0 710 6 6 ) |
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| 摘 要： | 首次在图半群中应用群作用的方法，研究了图自同态的（左、右）相似以及强自同态半群中格林类的（左、右）相似，讨论了（左、右）相似的基本性质，得出了（左、右）相似类长及类数的公式。
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| 关 键 词： | 格林关系 强自同态半群 左相似 右相似 自同态摹群 格林类 图半群 相似性 |
| 文章编号： | 1004-8820(2002)02-0079-05 |
The Similarity in the Semigroup of a Graph |
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| ZHU Yong,wen.The Similarity in the Semigroup of a Graph[J].Journal of Yantai University(Natural Science and Engineering edirion),2002,15(2):79-83. |
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| Authors: | ZHU Yong wen |
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| Abstract: | It's the first time for us to use the method of acting by a group into the semigroup of a graph.After the concept of the (left,right) similarity of the endomorphisms and the (left,right) similarity of the Green's classes in the (strong) endomorphism monoid of a graph are introduced,their properties are discussed and the formulas for the class length and the number of the classes of the similarity are obtained. |
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| Keywords: | graph endomorphism semigroup Green's relation (left right) similarity |
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