环的广义单内射性  

On General Simple Injectivity of Rings

作　　者：魏杰[1] 董珺[1] 

机构地区：[1]兰州工业学院基础学科部,甘肃兰州730050

出　　处：《兰州工业高等专科学校学报》2013年第2期60-64,共5页Journal of Lanzhou Higher Polytechnical College

基　　金：国家自然科学基金资助项目(11101197);兰州工业学院科技计划项目(10K-11)

摘　　要：引入了广义单内射环的概念,并证明了它是单内射环和n-(f-)内射环的真推广.研究了广义单内射环的一些性质,并用环的广义单内射性给出了QF的新刻画.特别地,推广了已知的相关结论.We introduce general simple injective rings which are a generalization of simple injective rings and n- （f-） injective, and give some examples which show that n-（f-）simple injective rings neither simple injective nor n-（f-） injective. And characterizations of general simple injective rings are studied and provided. We also give several new characterizations of QF by using f-simple injectivity. Some known results are obtained as corollaries.

关 键 词：n-(f)单内射环 极小内射环 单内射环 f-内射环 QF环 

分 类 号：O153.3[理学—数学]