魏俊潮. PS环的一些刻画[J]. 信阳师范学院学报(自然科学版), 2002, 15(4): 377-379.
引用本文: 魏俊潮. PS环的一些刻画[J]. 信阳师范学院学报(自然科学版), 2002, 15(4): 377-379.
WEI Jun chao. Some characterizations of PS ring[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(4): 377-379.
Citation: WEI Jun chao. Some characterizations of PS ring[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(4): 377-379.

PS环的一些刻画

Some characterizations of PS ring

  • 摘要: 利用非奇异模、极小内射模 ,给出 PS环的一些刻画 ,同时刻画了半单环 ,指出右 YJS环、右 DS环与右 PS环之间的关系及它们等价的条件

     

    Abstract: PS ring is characterized using nonsingular modules and minijective modules.Furthermore,semisimple rings is also characterized.At the same time,the relations among right YJS rings,right PS rings and right DS rings are obtained,and the equality conditions among them are given.

     

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