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.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
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)
