| 正则纯整群带的算子半群和同余网 |
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| 引用本文： | 罗彦锋. 正则纯整群带的算子半群和同余网[J]. 数学学报, 1998, 41(5): 1101-1108. DOI: cnki:ISSN:0583-1431.0.1998-05-030 |
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| 作者姓名： | 罗彦锋 |
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| 作者单位： | 兰州大学数学系 |
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| 基金项目： | 国家自然科学基金,甘肃省中青年基金,兰州大学校内基金 |
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| 摘 要： | 正则半群Ｓ的同余格（Ｓ）上的算子Ｋ，ｋ，Ｔ和ｔ定义如下：对于ρ∈Ｓ，ρＫ和ρｋ（ρＴ和ρｔ）分别是与ρ有相同核（迹）的最大和最小同余．我们确定了所有正则纯整群带的同余格上由Ｋ，ｋ，Ｔ和ｔ生成的算子半群．并确定了正则纯整群带上任意同余的同余网．
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| 关 键 词： | 正则纯整群带，算子半群，同余格，同余网 |
Operator Semigroups and Networks of Congruences for Regular Orthocryptogroups |
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| Luo Yanfeng. Operator Semigroups and Networks of Congruences for Regular Orthocryptogroups[J]. Acta Mathematica Sinica, 1998, 41(5): 1101-1108. DOI: cnki:ISSN:0583-1431.0.1998-05-030 |
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| Authors: | Luo Yanfeng |
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| Affiliation: | Luo Yanfeng (Department of Mathematics, Lanzhou University, Lanzhou730000, China) (Email:luoyf@lzu.edu.cn) |
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| Abstract: | Four operators K,k,T and t are defined on the congruence lattice S of a regular semigroup S as follows: forρ∈S, ρK and ρk(ρT and ρt)are the greatest and the smallest congruences with the same kernel(trace)as ρ, respectively. We determine the semigroup generated by operators K,k,T and t as they act on congruence lattices of all regular orthocryptogroups. We also determine the network of congruences associated with a congruence ρ∈S. |
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| Keywords: | Regular orthocryptogroup Operator semigroup Congruence lattice Congruence networks |
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