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完全π-正则半群的若干性质
Some propertes of completely π-regular semigroups
【摘要】 在完全π-正则半群上引入a*及a-,讨论完全π-正则半群的性质,给出半群S的任一真左理想为完全π-正则半群(GV-半群)的一些充要条件,并对完全阿基米德半群进行等价刻画.
【Abstract】 By introducing the notations a* and a- on completely πregular semigroups, some properties of completely πregular semigroups are discussed, and some equivalent conditions are obtained of semigroup S, every proper left ideal of which is a completely πregular semigroup (GVsemigroup), and completely Archimedean semigroups are characterized.
【关键词】 完全π-正则半群;
GV-半群;
完全阿基米德半群;
【Key words】 completely π-regular semigroup; GV-semigroup; completely Archimedean semigroup;
【Key words】 completely π-regular semigroup; GV-semigroup; completely Archimedean semigroup;
【基金】 国家自然科学基金(10171089)资助项目;浙江省自然科学基金(1970024)资助项目.
- 【文献出处】 浙江大学学报(理学版) ,Journal of Zhejiang University(Sciences Edition) , 编辑部邮箱 ,2003年03期
- 【分类号】O152.7
- 【被引频次】7
- 【下载频次】43