| 关于阿基米德半群的子半群 |
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| 引用本文： | 朱聘瑜.关于阿基米德半群的子半群[J].青海师范大学学报(自然科学版),1988(2). |
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| 作者姓名： | 朱聘瑜 |
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| 作者单位： | 青海师范大学 |
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| 摘 要： | 本文讨论阿基米德半群的子半群,主要结论是:(1)若有限半群S的真子半群都是阿基米德半群,则S是阿基米德半群或|s|=2.(2)周期阿基米德半群的子半群是阿基米德半群。
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| 关 键 词： | 阿基米德半群 子半群 有限半群 |
ON THE SUBSEMIGROUPS OF AN ARCHIMEDEAN SEMIGROUP |
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| Zhu Pingyu.ON THE SUBSEMIGROUPS OF AN ARCHIMEDEAN SEMIGROUP[J].Journal of Qinghai Normal University(Natural Science Edition),1988(2). |
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| Authors: | Zhu Pingyu |
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| Institution: | Qinghai Normal University |
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| Abstract: | In this paper we discuss the subsemigroups of an archimedean semigroup, the main results are that : (1)If every proper subsemigroup of a finite semigroup S is archimedean semigroup, then S is archimedean or |S| = 2. (2)Every subsemigroup of a periodic archimedean semigroup is archi-medean semigroup. |
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| Keywords: | Archimedean semigroup Subsemigroup Finite Semigroup |
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