| 半群的Cwrpp根和半Cwrpp半群 |
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| 引用本文： | 高振林,宋土芳.半群的Cwrpp根和半Cwrpp半群[J].上海理工大学学报,2012,34(5):499-504. |
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| 作者姓名： | 高振林 宋土芳 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 摘 要： | 引进Cwrpp根同余(集)、半Cwrpp半群的概念.研究了Cwrpp根同余(集)的性质.指出左Cwrpp(右Crpp)和完备rpp半群的Cwrpp根是强的,并给出它们的Cwrpp根的性质.证明了一个半群S是半Cwrpp的充分必要条件是S同构于一些Cwrpp半群的0-子直积.
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| 关 键 词： | (强)Cwrpp根同余(集) 半Cwrpp半群 0-子直积 |
Cwrpp Radicals of Semigroups and Semi-Cwrpp Smigroups |
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| GAO Zhen lin and SONG Tu fang.Cwrpp Radicals of Semigroups and Semi-Cwrpp Smigroups[J].Journal of University of Shanghai For Science and Technology,2012,34(5):499-504. |
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| Authors: | GAO Zhen lin and SONG Tu fang |
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| Institution: | (College of Science,University of Shanghai for Science and technology,Shanghai 20093,China) |
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| Abstract: | The concepts of Cwrpp radical congruences(or sets) and semi-Cwrpp semigroups were introduced.The properties of Cwrpp radical congruence(or set) were studied.It was shown that for left Cwrpp(or right Crpp) and perfect rpp semigroups,their Cwrpp radicals are strong.The characteristics of their Cwrpp radicals were presented and it was proven that a semigroup S is semi-Cwrpp if and only if S is isomorphic to a sub 0-direct product for some Cwrpp semigroups. |
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| Keywords: | (strong)Cwrpp radical congruences(sets) semi-Cwrpp semigroups sub 0-direct product |
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