Baer、quasi-Baer和p.q.-Baer模

Baer,Quasi-Baer and p.q.-Baer Module

文章定义了Baer模、quasi-Baer模和p.q.-Baer模.使用了环论和模论的一般方法,讨论了在一定条件下模的子模、商模、直积(直和)和同态象保Baer性(quasi-Bear性、p.q.-Baer性.)

In this paper, the Baer module, quasi-Baer module and p. q.-Baer module are respectively defined. The general approach of ring and module is used to discuss the property of the sub-modules, factor modules, direct product of modules, direct sum of modules and homomorph of modules that keep the property of Baer （ quasi-Baer and p. q. -Baer） under some conditions.