Noether环上的Pre-内射模(英文)  

Pre-injective Modules on Noetherian Rings

作　　者：向跃明[1,2] 

机构地区：[1]湖南师范大学数学与计算机科学学院,湖南长沙410081 [2]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2009年第4期374-378,386,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：Project Supported by the Hunan Natural Science Foundation(08JJ3006)

摘　　要：R是环.右R-模M称为pre-内射模,如果它是一内射预盖的核.称右R-模N为强pre-内射模,如果它是一内射盖的核.得到pre-内射模的一些性质,证明了R是遗传环当且仅当任意pre-内射R-模是内射模.Let R be a ring. A right R-module M is called pre-injective if it is a kernel of an injective precover; A right R-module N is called strongly pre-injective if it is a kernel of an injective cover. We show many characters of the pre-injective modules. It is shown that a ring R is right hereditary if and only if every right pre-injective R-module is injective.

关 键 词：内射预盖 内射盖 pre-内射模 强pre-内射模 

分 类 号：O153.3[理学—数学]