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.
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)
关键词
n-(f)单内射环
极小内射环
单内射环
f-内射环
QF环
n- （f-） simple injective tings
mininjective tings
simple injective tings
f-injective tings
QFrings
