关于左sf环和强正则环

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.861

T. Subedi, A. M. Buhphang

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引用次数: 0

摘要

环R称为左SF，如果它的简单左模是平的。规则环是已知的左sf环。然而，到目前为止，尚不清楚左sf环是否一定是规则的。本文证明了左(右)补有界左sf环的强正则性。证明了一类广义半交换左sf环的强正则性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Left SF-Rings and Strongly Regular Rings

A ring R called left SF if its simple left modules are flat. Regular rings are known to be left SF-rings. However, till date it is unknown whether a left SF-ring is necessarily regular. In this paper, we prove the strong regularity of left (right) complement bounded left SF-rings. We also prove the strong regularity of a class of generalized semicommutative left SF-rings.

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