| P-析取正则^＊-半群 |
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| 引用本文： | 曹海军.P-析取正则^＊-半群[J].曲阜师范大学学报,2009,35(4):23-26. |
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| 作者姓名： | 曹海军 |
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| 作者单位： | 青岛大学数学科学学院,山东省青岛市266071 |
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| 摘 要： | 针对Petrich M在《Inverse Semigroup》一书中所给出的E-析取逆半群及其公开问题“研究E-析取逆半群”，从正则＊-半群的角度给出了所谓的P-析取正则^＊-半群，而且对于这一类半群，作者利用L^＊循环列和核-迹两种方法给出了P-析取正则^＊-半群的两个不同的等价刻画，也即是给出了文献4]中的结论的一些推广．
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| 关 键 词： | 正则^＊-半群 P-析取正则^＊-半群 P-纯的^＊-同余 L^＊-序列 P(S)的正规划分 ^＊-同余对 |
P- disjunctive*-semigroup |
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| CAO Hai-jun.P- disjunctive*-semigroup[J].Journal of Qufu Normal University(Natural Science),2009,35(4):23-26. |
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| Authors: | CAO Hai-jun |
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| Institution: | CAO Hai-jun ( Department of Mathematics, Qingdao University,266071, Qingdao, Shandong, PRC) |
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| Abstract: | In ＂Inverse junctive inverse semigroup. Semigroup＂, an open problem： has been given, which is to study the so called E-disjunctive inverse semigroup. The aim of this paper is to construct a new type of regular ^＊ -semigroup： P-disjunctive regular ^＊-semigroup. Moreover, for this kind of semigroup, the author gives two difference characterizations of Pdisjunctive regular^＊ -semigroup by circulate L^＊ -sequence and Kernel-Trace methods which is a generalization of the results of Yonghua Li and Moucheng Zhang. |
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| Keywords: | regular^ ＊ -semigroup P-disjunctive regular ^＊ -semigroup P-pure ^＊ -congruence L^＊ -sequence normal patition of P（S） ^＊-congruence pair |
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