关于n-phantom-态射和n-Ext-phantom-态射的刻画  

Some characterizations of n-phantom morphisms and n-Ext-phantom morphisms

作　　者：兰开阳 卢博[1] LAN Kaiyang;LU Bo(College of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,China)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《浙江大学学报（理学版）》2021年第6期651-654,共4页Journal of Zhejiang University（Science Edition）

基　　金：甘肃省青年博士基金项目(2021QB-066);国家自然科学基金资助项目(12061061);中央高校基本科研业务经费项目(31920210082);西北民族大学创新团队项目(1110130131).

摘　　要：设n为正整数,讨论了模的短正合序列以及拉回图中态射的n-phantom性与n-Ext-phantom性。对正整数m(m>n),研究了Tor_(n)-单态射与Tor_(m)-单态射以及Ext^(n)-满态射与Ext^(m)-满态射之间的关系;研究了Tor_(n)-单态射(Ext^(n)-满态射)与其示性态射之间的关系。Let n be a positive integer.We first discuss the n-phantom and n-Ext-phantom of morphisms in short exact sequence and pullback diagram of modules.Then,for a positive integer m(m>n),the relationship between Tor_(n)-monomorphisms and Tor_(m)-monomorphisms(Ext^(n)-epimorphisms and Ext^(m)-epimorphisms)are studied;The relationship between Tor_(n)-monomorphisms(Ext^(n)-epimorphisms)and their character morphisms has been investigated.

关 键 词：n-phantom-态射 Tor_(n)-单态射 Ext^(n)-满态射 

分 类 号：O154.2[理学—数学]