P-正则半群的双序集 |
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引用本文: | 喻秉钧. P-正则半群的双序集[J]. 数学学报, 1996, 39(6): 777-782 |
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作者姓名: | 喻秉钧 |
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作者单位: | 四川师范大学数学系 |
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摘 要: | 本文刻划了双序集E为某P-正则半群的幂等元双序集的充要条件.所得定理不仅推广了D.Easdown关于带的双序集的结论,而且导出了正则*-半群的幂等元双序集的一个刻划.进而还对P-正则半群的若干特殊情形及向非正则半群的推广进行了讨论.
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关 键 词: | P-正则半群,正则*-半群,P-正则双序集,特征集 |
收稿时间: | 1995-08-17 |
Biordered Sets of P-regular Semigroups |
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Affiliation: | Yu Bingjun(Department of Mathematics,Sichuan Normal University,Chengdu 610066,China) |
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Abstract: | The necessary and sufficient condition for a biordered set to be that of the idempotents of a P-regular semigroup is characterized in this paper.The theorem obtained here not only is a generalization of the theorem, given by D.Easdown,for biordered sets of bands,but also gives a characterization of biordered sets of idempotents of regular *-semigroups.Further,some special cases and a generalization to non-regular ones of P-regular semigroups are discussed. |
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Keywords: | P-regular semigroup Regular *-semigroup P-regular biordered set Characteristic set |
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