On Left SF-Rings and Strongly Regular Rings

IF 0.6 Q3 MATHEMATICS

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

T. Subedi, A. M. Buhphang

引用次数: 0

Abstract

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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关于左sf环和强正则环

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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.