FCG-M-内射模和FCG-平坦模以及一些环

FCG-M-injective Modules and FCG-flat Modules and Some Rings

本文引入了FCG-M-内射模和FCG-平坦模的概念,由此构造了四种新环:左V-环,左FCG-遗传环,FCG-IF环,FCG-正则环,并且证明出IF环、FCG-IF环和正则环、FCG-正则环之间的关系.

This article introduces the FCG-M-injective modules and FCG-flat modules conceptions,then it construct four new rings: Left V-ring,Left FCG-hereditary Ring,FCG-IF Ring and FCG-regular Ring.The author also proves relationship between the IF Ring,FCG-IF Ring and Regular Ring,FCG-regular Ring.