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弱可约序半群的理想扩张
引用本文:许新斋,李颖.弱可约序半群的理想扩张[J].数学研究,2010,43(1):31-38.
作者姓名:许新斋  李颖
作者单位:1. 山东师范大学数学科学学院,山东,济南,250014
2. 山东轻工业学院数理系,山东,济南,250100
基金项目:supported by the Award of Young Scientist Fund from Shandong Province (2008BS01016)
摘    要:NioviKehayopulu和Michael Tsingelis于2003年给出了关于序半群的理想扩张的一个定理,本文利用该定理进一步给出了弱可约序半群的理想扩张的构造.

关 键 词:序半群的左(右)平移  序半群的理想扩张  弱可约序半群

Ideal Extensions of Weakly Reductive Ordered Semigroups
Xu Xinzhai,Li Ying.Ideal Extensions of Weakly Reductive Ordered Semigroups[J].Journal of Mathematical Study,2010,43(1):31-38.
Authors:Xu Xinzhai  Li Ying
Institution:Xu Xinzhai~1 Li Ying~2 (1.School of Mathematical Science,Sh,ong Normal University,Ji\'nan Sh,ong 250014,2.Departent of Mathematics , Physics,Sh,ong institute of Light Industry,Ji\'nan Sh,ong 250100)
Abstract:A theorem on ideal extensions of ordered semigroups have been given by Niovi Kehayopulu and Michael Tsingelis in 2003.Applying the theorem,we give a concrete construction of the ideal extensions of a weakly reductive ordered semigroup.
Keywords:left (right) translation of an ordered semigroup  ideal extension of an ordered semigroup  weakly reductive ordered semigroup
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