FCG—投射模与特殊环  

On FCG-projective Models and Special Rings

作　　者：班秀和[1] 朱慕莲[1] 黄容伟[1] 

机构地区：[1]广西师范学院数学与计算机科学系,广西南宁530001

出　　处：《南阳师范学院学报》2004年第12期1-3,共3页Journal of Nanyang Normal University

基　　金：广西自然科学基金资助项目(0229021)

摘　　要：一个左R—模RA称为FCG—投射模,如果对于任一有限余生成模RM,A是M—投射的。用FCG—投射模刻画了左V—环、半单环和QF—环,引进了FCG—遗传模和FCG—遗传环的概念,并对它们进行了刻画。According to ZHU Zhan_min,a left R_model A is called a FCG_model in case for finitely cogenerated model M, A is M_projective.By FCG_projective models left V_rings, semi_simple rings and QF_rings are discribed.Then ,the concepts of FCG_hereditary models and FCG_hereditary rings are introduced.And some equivalent conditions of FCG_hereditary models and FCG_hereditary rings are given.

关 键 词：FCG-投射模 V-环 半单环 QF-环 FCG-遗传模 

分 类 号：P153.3[天文地球—天文学]