四川师范大学学报（自然科学版）2013，Vol.36Issue(2)：198-201,4.DOI:10.3969/j.issn.1001-8395.2013.02.008
余纯投射模与CPH环
Copure Projective Modules and CPH Rings
摘要
Abstract
Let R be a ring. An R-module M is called a copure projective module if Ext1R(M,F) =o for any flat module F. It is proved that if M is copure projective, then either M is projective or fdRM≥2. The concept of CPH ring is introduced and it is proved that a ring R is a CPH-ring if and only if the injective dimension of flat modules is at most one; if and only if every ideal of R are copure projective.关键词
余纯投射模/CPH环/Gorenstein投射模Key words
copure projective module/ CPH ring/ Gorenstein projective module分类
数理科学引用本文复制引用
熊涛,王芳贵,胡葵..余纯投射模与CPH环[J].四川师范大学学报（自然科学版）,2013,36(2):198-201,4.基金项目
国家自然科学基金(11171240)和四川省教育厅科研基金(12ZB107)资助项目 （11171240）
