| 一类E-酉正则半群的同余网结构 |
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| 引用本文： | 徐文锋.一类E-酉正则半群的同余网结构[J].韶关学院学报,2010,31(6). |
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| 作者姓名： | 徐文锋 |
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| 作者单位： | 韶关学院,数学与信息科学学院,广东,韶关512005 |
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| 摘 要： | 定义正则半群S的同余格C(S)上的算子半群K,k,T和t,对于P∈S,ρK和ρk(ρT和ρt)分别表示与ρ有相同核(迹)的最大和最小同余.对于同态像是E-酉的E-酉正则半群S,确定了其上任意同余ρ的同余网ρΓ*,并确定了由ρ的同余网ρΓ*生成的同余子格.
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| 关 键 词： | E-酉正则半群 同余网 同余格 |
Congruence networks for a class of E-unitary regular semigroups |
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| XU Wen-feng.Congruence networks for a class of E-unitary regular semigroups[J].Journal of Shaoguan University(Social Science Edition),2010,31(6). |
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| Authors: | XU Wen-feng |
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| Institution: | XU Wen-feng (College of Mathematics and Information Sciences; Shaoguan University; Shaoguan 512005; Guangdong; China); |
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| Abstract: | Four operators K, k, T and t are defined on the congruence lattice C(S)on a E-unitary regular semigroup S as follow. For ρ∈S, ρK and ρk (ρT and ρt) are the greatest and the smallest congruences with the same kernel (tracec) as ρ, respectively. We determine the network of congruences associated with a congruence ρ∈C(S)and the lattice generated by it. |
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| Keywords: | E-unitary regular semigroup congruence network congruence lattice |
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