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| 有限部分保序变换半群POn的具有某种性质的极大子半群 | |
| 引用本文： | 徐波,赵平,李俊杨. 有限部分保序变换半群POn的具有某种性质的极大子半群[J]. 数学杂志, 2010, 30(4) |
| 作者姓名： | 徐波 赵平 李俊杨 |
| 作者单位： | 1. 贵州师范大学数学与计算机科学学院,贵州,贵阳,550001 2. 贵阳医学院数学教研室,贵州,贵阳,550004 |
| 摘 要： | 本文研究了有限链上的部分保序变换半群Pon.通过对其幂等元的分析,获得TPOn的极大正则子半群和极大幂等元生成子半群的结构与分类. |
| 关 键 词： | 保序 正则子半群 幂等元生成子半群 变换半群 |
MAXIMAL PROPERTIES OF SOME SUBSEMIGROUPS IN FINITE SINGULAR PARTIAL ORDER-PRESERVING TRANSFORMATION SEMIGROUPS |
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| XU Bo,ZHAO Ping,LI Jun-yang. MAXIMAL PROPERTIES OF SOME SUBSEMIGROUPS IN FINITE SINGULAR PARTIAL ORDER-PRESERVING TRANSFORMATION SEMIGROUPS[J]. Journal of Mathematics, 2010, 30(4) | |
| Authors: | XU Bo ZHAO Ping LI Jun-yang |
| Abstract: | In this article, the semigroup POn, consisting of all singular partial orderpreserving transformations on a finite chain, is studied. By analyzing the idempotent elements, we completely obtain the structure and classification of the maximal regular subsemigroups, the maximal idempotent-generated subsemigroups of POn. |
| Keywords: | order-preserving regular subsemigroup idempotent-generated subsemigroup transformation semigroup |
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