强冯·诺伊曼正则局部环的推广

Generalization of Strongly Von Neumann Local Ring

将SVNL环(强冯·诺伊曼正则局部环)的概念推广到一般模类中,提出SVNL模的概念.给出了有限生成或局部投射SVNL模的等价刻画,讨论了SVNL模的性质以及与已知模类之间的关系,并将部分VNL环的结论推广到了SVNL模中.

The conception of SVNL ring（strongly Von Neumann local ring）is extended to the general module class.The concept of SVNL module is put forward and some characterizations of finite generated or locally projective SVNL module are given.Moreover,the properties of SVNL module is studied,the relationship between the new module classes,regular modules and local modules is summarized,and some important conclusions of VNL ring are extended to SVNL module.