| 关于弱交换PO—半群中的一个问题 |
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| 引用本文： | 景奉杰,赵宪钟.关于弱交换PO—半群中的一个问题[J].纯粹数学与应用数学,1994,10(2):59-63. |
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| 作者姓名： | 景奉杰 赵宪钟 |
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| 作者单位： | [1]武汉大学 [2]西北大学 |
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| 摘 要： | 本文引入弱交换ｐｏ－半群的概论２，研究这类半群到Ａｒｃｈｉｍｅｄｅａｎ子半群的半格分解，得到了这半群类似于具平凡序的弱交换半群的一个特征，由此在更一般的情形下回答了Ｋｅｈａｙｏｐｕｌｕ在「１」中提出的一个问题，并作为推论得到弱交换ｐｏｅ－半群和具平凡序的弱交换半群的已知结果。
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| 关 键 词： | 弱交换PO半群 半群 弱交换半群 半格同余 |
ON A PROBLEM IN WEAKLY COMMUTATIVE PO-SEMIGROUPS |
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| Jing Fengjie, Zhao Xianzhong.ON A PROBLEM IN WEAKLY COMMUTATIVE PO-SEMIGROUPS[J].Pure and Applied Mathematics,1994,10(2):59-63. |
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| Authors: | Jing Fengjie Zhao Xianzhong |
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| Abstract: | In this paper we intruduce the concept of weakly commutative po-semigroups, we initiate the Study of the scmilattice decompositions of this type of semigroups into their archimedean subsemigroups and give a characterization of such semigroups analogous to that of weakly commutative semigroups without order. As a result. a problem raised by Kehayopulu in 1] is answered in more general case, and the known results on weakly commutahve poe-semigroups and weakly commutativc senigroups without order are obtained. |
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| Keywords: | Po-semigroups Poe-semigroups Weakly commutative Po-semigroups Archimedean subsemigroups Semilattice congruence |
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