Morphic环的一些研究

         

摘要

In this paper, we mainly depicted the relation of morphic ring and other rings under certain conditions. We mainly proved the following results: 1. If R is a left quasi-duo ring, and R is a GP-V-ring, then R is a morphic ring; 2. If R is a left GP-V-ring, the following conditions are equivalent, (1) R is a strongly regular ring; (2) R is a reduced morphic ring; (3) R is a semicommutative morphic ring; (4) R is a 2-primal morphic ring.%主要刻画了在一定条件下的morphic环与其他一些环的关系,证明了如下的主要结果:1.若R是左拟duo环,且R是GP-V-环,则R是morphic环.2.若R是GP-V-环,则以下等价:(1)R是强正则环(2)R是约化的morphic环(3)R是半交换的morphic环(4)R是2-素的morphic环.

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