摘要
利用直内射模、直投射模、可除模和非挠模给出 Dedekind环的若干等价条件 ,并给出交换整环成为
Some characterizations of the Dedekind rings are given by using direct projective modules,direct injective modules,division modules and nontorsion modules respectively.some sufficient coudition for a commutative domain ring being a Dedekind ring are obtained.
出处
《信阳师范学院学报（自然科学版）》
CAS
2000年第4期384-387,共4页
Journal of Xinyang Normal University(Natural Science Edition)
关键词
交换整环
DeDekinD环
Prufer环
可除模
直内射模
非挠模
commutative domain rings
Dedekind rings
Prüfer rings
division modules direct injective modules
nontorsin modules
