西北师范大学学报（自然科学版）Issue(2)：1-3,8,4.
纯满同态的推广对条件（P′）与条件（PE）的刻画
Characterizations of condition (P′) and condition (PE) by generalizations of pure epimorphisms
摘要
Abstract
Let S be a monoid and n a positive integer . Let ψ :X → Y be an S‐epimorphism in which X satisfies condition (P) , if ψ is 2‐pure then Y satisfies condition (P) , but the converse is not true . Some new generalizations of pure epimorphisms are given . Using these new concepts , some characterizations of condition (P′) and condition (PE ) are obtained , that is , a S‐act Y satisfies condition (P′) ,if and only if every S‐epimorphism is weak 2‐pure , and a S‐act Y satisfies condition ( PE ) , if and only if every S‐epimorphism is PE‐2‐pure . Finally , the directed colimits of these new epimorphisms are investigated .关键词
纯满同态/条件(P′)/条件(PE)Key words
pure epimorphism/condition (P′)/condition (PE )分类
数理科学引用本文复制引用
乔虎生,杨丽丽..纯满同态的推广对条件（P′）与条件（PE）的刻画[J].西北师范大学学报（自然科学版）,2015,(2):1-3,8,4.基金项目
国家自然科学基金资助项目（11461060）；甘肃省高校基本科研业务费项目 （）
