| 一类完全正则半群簇子簇格的性质 |
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| 引用本文： | 杨海宣.一类完全正则半群簇子簇格的性质[J].数学学报,1998,41(4):727-730. |
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| 作者姓名： | 杨海宣 |
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| 作者单位： | 天津商学院数理系，兰州大学数学系 |
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| 摘 要： | 本文研究了完全正则半群簇的子簇格［Ｖ＋∩ＰＶ，Ｖ＋∩ＰＶ］的某些格运算性质，我们证明了簇Ｖ＋∩ＰＶ可分解为Ｖ与Ｖ＋∩ＰＶ的并；对任意完全正则半群簇Ｗ，有Ｗ∩（Ｖ∨Ｖ＋∩ＰＶ）＝（Ｗ∩Ｖ）∨（Ｗ∩Ｖ＋∩ＰＶ）．特别地，我们得到了等式Ｖ＋∩ＰＶ＝Ｖ成立的若干条件．
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| 关 键 词： | 完全正则半群簇，格 |
Properties of a Class of Lattice of Subvarieties of Variety of Completely Regular Semigroups |
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| Yang Haixuan.Properties of a Class of Lattice of Subvarieties of Variety of Completely Regular Semigroups[J].Acta Mathematica Sinica,1998,41(4):727-730. |
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| Authors: | Yang Haixuan |
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| Abstract: | In this paper, some lattice theoretical properties of the lattice V +∩PV, V +∩PV] are studied. It is proved that V +∩PV is the join of V and V +∩PV and W∩ (V∨V +∩PV)= (W∩ V)∨(W∩V +∩PV) for all varieties W, V of completely regular semigroups. In particular, some conditions for the equation V +∩PV =V to be true are obtained. |
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| Keywords: | Variety of completely regular semigroups Lattice |
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