| 图的强收缩核与图的强自同态幺半群的正则性 |
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| 引用本文： | 樊锁海.图的强收缩核与图的强自同态幺半群的正则性[J].数学研究及应用,1998,18(1):115-119. |
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| 作者姓名： | 樊锁海 |
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| 作者单位： | 暨南大学数学系 |
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| 基金项目： | 国务院侨办重点学科科研基金资助课题. |
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| 摘 要： | 本文研究图及其强自同态幺半群．首先刻画了图的强自同态幺半群的正则元，然后给出了此幺半群正则的充要条件．这推广了［１］和［２］中关于有限图的强自同态幺半群正则的结果．
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| 关 键 词： | 图 强自同态 幺半群 强收缩核 正则 |
| 收稿时间： | 1/3/1995 12:00:00 AM |
| 修稿时间： | 1997/10/7 0:00:00 |
Strong Retracts and the Regularity of Strong Endomorphism Monoids of Graphs |
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| Fan Suohai.Strong Retracts and the Regularity of Strong Endomorphism Monoids of Graphs[J].Journal of Mathematical Research with Applications,1998,18(1):115-119. |
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| Authors: | Fan Suohai |
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| Institution: | Dept. of Math.; Jinan Univ.; Guangzhou 510632 |
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| Abstract: | Graphs and their strong endomorphism monoids are considered in this paper. First, the regular elements of strong endomorphism monoids of graphs are characterized. Then necessary and sufficient conditions for these monoids to be regular are given. These results generalize that of U.Knauer and Li Weimin about the regularity of strong endomorphism monoids of finite graphs. |
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| Keywords: | graphs strong endomorphism monoid strong retract regular |
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