| U-半富足半群上的自然偏序 |
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| 引用本文： | 王艳,张成丽,袁世刚.U-半富足半群上的自然偏序[J].纺织高校基础科学学报,2011,24(1):114-117. |
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| 作者姓名： | 王艳 张成丽 袁世刚 |
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| 作者单位： | 西安建筑科技大学理学院; |
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| 摘 要： | U-半富足半群是富足半群的一个自然推广.证明了若U半富足半群S满足PC条件,且其投射元集U成子半群,S上的自然偏序≤是右相容的,如果eSe满足正则条件且为(-L)v-幂单的及(R)v-幂单的,并且证明了若S关于≤相容,则eSe满足正则条件且为(-L)v-优化的及(-R)v-优化的.
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| 关 键 词： | PCU-半富足半群 自然偏序 优化的 幂单的 |
The natural partial on U-semiabundant simigroups |
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| WANG Yan,ZHANG Cheng-li,YUAN Shi-gang.The natural partial on U-semiabundant simigroups[J].Basic Sciences Journal of Textile Universities,2011,24(1):114-117. |
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| Authors: | WANG Yan ZHANG Cheng-li YUAN Shi-gang |
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| Affiliation: | (School of Science,Xi′an University of Architecture & Technology,Xi′an 710055,China) |
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| Abstract: | A U-semiabundant semigroup is a generalization of an abundant.It is proved that if S is a U-semiabundant semigroup satisfying PC conditions in which the set of projections forms a subsemigroup,then the nature partial order on S is compatible.If eSe satisfy the regularity condition and L~V-unipotent,R~V-unipotent,and if S is compatible,then eSe satisfy the regularity condition and L~V-majorization and R~V-majorization. |
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| Keywords: | PC U-semiabundant semigroups natural partial order majorization unipotent |
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