关于纯满同态的一些新推广（英文）  

On some new generalizations of pure epimorphisms

作　　者：乔虎生[1] 杨丽丽[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2015年第3期418-421,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the Foundation for Young Innovative Scientists in Gansu Province;National Natural Science Foundation of China(11461060)

摘　　要：设S是幺半群,n是一个正整数.令Ψ:X→Y是S-满同态,其中X满足条件(P).文献[1]证明了如果Ψ是2-纯的,那么Y满足条件(P),但反之未必成立.本文给出了纯满同态的一些新推广.利用这些新概念,给出了条件(E′),条件(PWP)和条件(P)的充分必要性的刻画,并研究了这些新满同态的有向上极限.Let S be a monoid and n a positive integer.Let Ψ：X→Y be an S-epimorphism in which X satisfies condition（P）.Reference[1]proved that if Ψ is 2-pure,then Y satisfies condition（P） but the converse is not true.We gave some new generalizations of pure epimorphism.Using these new concepts,we obtained some sufficient and necessary characterizations of condition（E＇）,condition（PWP） and condition（P）,and we also investigated the directed colimits of these new epimorphisms.

关 键 词：纯满同态 条件(E) 条件(P) 条件(PWP) 

分 类 号：O152.7[理学—数学]