关于广义拟duo-环的正则性

On the Regularity of Generalized Quasi-duo Rings

刻画了广义拟duo-环并主要得到以下几个结果:(1)R是广义左拟duo-环当且仅当且是MELQ的左极小Abel环.(2)设R是一个环,R是强正则环且仅当是广义左左拟duo的左GP-V-环.参7.

This paper characterized the regularity of generalized quasi - duo rings and mainly obtained the fol- lowing results ： （ 1 ） A ring is a generalized left quasi - duo ring if and only if is a MELQ left rain - Abel rings ; （2） A ring ring. Some is a strongly regular ring if and only if is a left GP - V - ring of the generalized left quasi - duo known results of generalized left quasi - duo ring were effectively improved. 7refs.