安庆师范学院学报：自然科学版2012，Vol.18Issue(3)：18-20,27,4.
关于拟WGP-内射模
On Quasi WGP- injective Mdules
摘要
Abstract
Abstract： Quasi WGP - injective modules are defined. Then some characterizations and properties are given. Let R be a ring, M right R - module, S = End（ MR ） . It is shown that M is a right quasi WGP - injective module if and only if for and 0≠a ∈ S, there exists 0 ≠ c∈ S such that 1s （ ker（ac） ） = Sac. Moreover, it is proved that if M is a right quasi WGP - injective self - genera- tor and S is a semiprime ring, then every maximal kernel of S is a summand of M ; If M is a right quasi WGP - injeetive module, then for any right uniform dement of S, the set Au = { s ∈ S I kers ∩ u （M）≠ 0 } is a maximal left ideal of S containing ls （ u （M））. Consequently, some results of WGP- injective rings are generalized.关键词
拟WGP-内射模/WGP-内射环/自生成子Key words
WGP - injeetive module/WGP - injective ring/self - generator分类
数理科学引用本文复制引用
陈平,宋贤梅..关于拟WGP-内射模[J].安庆师范学院学报：自然科学版,2012,18(3):18-20,27,4.基金项目
安徽省教育厅自然科学研究重点项目（KJ2010A126）和安徽师范大学专项基金（2008xzxl0）资助. （）
