F-perfect Rings and Modules

• 作 者: Lu Bo
• 机 构: CollegeofMatheraaticsandInformationScience
• 出 处: 数学研究通讯：英文版
• 发表日期: 2013年1期
• 关键词: 模块 戒指 有限生成模 F-环 挠理论 投影 F-perfect ring F-cover F-perfect module cotorsion theo

Let R be a ring,and let(F,C) be a cotorsion theory.In this article,the notion of F-perfect rings is introduced as a nontrial generalization of perfect rings and A-perfect rings.A ring R is said to be right F-perfect if F is projective relative to R for an