Certain Rings Whose Simple Singular Modules Are nil-injective ∗
Certain Rings Whose Simple Singular Modules Are nil-injective ∗
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发表时间：
2008-11
影响因子：
1
通讯作者：
Junchao Wei
中科院分区：
文献类型：
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作者：
Junchao Wei
本文首先研究了左min-abel环、强左min-abel环和左MC 2环的一些刻画。其次，我们讨论并推广了单奇异左模为诣零内射的环的一些著名结果。最后，作为这些结果的副产品，我们能够证明，如果R是一个左GMC 2左Goldie环，其每个单奇异左R -模是YJ-内射的，那么R是一个单左Goldie环的有限积。
In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring whose simple singular left modules are nil- injective. Finally, as a byproduct of these results we are able to show that if R is a left GMC2 left Goldie ring whose every simple singular left R - module is YJ- injective, then R is a finite product of simple left Goldie ring.