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加强平坦性对幺半群的刻画
引用本文:赵华,刘海峰,刘守生.加强平坦性对幺半群的刻画[J].兰州理工大学学报,2010,36(1).
作者姓名:赵华  刘海峰  刘守生
作者单位:中国人民解放军理工大学,理学院,江苏,南京,211101
摘    要:通过条件(WR),引入加强平坦性的概念,讨论加强平坦性的性质,证明任意弱平坦右S-系的循环子系加强平坦当且仅当S=N1,其中N是空集或N是右零半群.

关 键 词:加强平坦性  条件(WR)  S-系  

Characterization of monoids by stronger flatness
ZHAO Hua,LIU Hai-feng,LIU Shou-sheng.Characterization of monoids by stronger flatness[J].Journal of Lanzhou University of Technology,2010,36(1).
Authors:ZHAO Hua  LIU Hai-feng  LIU Shou-sheng
Institution:Institute of Sciences;PLA Univ.of Sci.and Tech.;Nanjing 211101;China
Abstract:A concept of stronger flatness was introduced by using condition(WR),then the property of stronger flatness was discussed and it was proved that all the cyclic subacts of arbitrary weakly flat right S-acts were more strongly flat if and only if S=N1,where N was a empty group or a right-zero semigroup.
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