摘要
用强单投射模与强单内射模,给出V-环与半单环的新的刻画,证明R是左单投射遗传环,当且仅当每个单模的内射维数至多为1;R是左单内射遗传环,当且仅当每个单模的投射维数至多为1。
New characterizations of V-rings and semi-simple rings are obtained by using strong simple projective modules and strong simple injective modules. It is shown that R is left simple projective heredi- tary if and only if every simple module has the injective dimension at most 1 ; R is left simple injective he- reditary if and only if the projective dimension of every simple module is at most 1.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2016年第6期728-734,共7页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(11171240)
教育部博士点基金资助项目(20125134110002)
四川师范大学优秀论文培育基金资助项目(校研字[2015]5号-1)
关键词
强单投射模
强单内射模
左单投射遗传环
左单内射遗传环
strong simple projective modules
strong simple injective modules
left simple projective he-reditary ring
left simple injective hereditary ring
