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Strongly Regularity of Rings

YIN Xiaobin, CHEN Sainan, DOU Wan

School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China

Received:2013-05-15 Online:2014-01-26 Published:2014-03-05
Contact: YIN Xiaobin E-mail:xbyinzh@mail.ahnu.edu.cn

Abstract

Abstract:

Under the condition that every principal left (or right) ideal is weakly right (or left) ideal, we studied the strongly regularity of some special rings (such as GP-V-rings, GP-V′-rings, [JP2]weakly regular rings and generalized regular rings), and obtained some characterizations of strongly regular rings.

Key words: strongly regular ring, weakly ideal, GP-V-ring, weakly regular ring, generalized regular ring

CLC Number:

O153.3

YIN Xiaobin, CHEN Sainan, DOU Wan. Strongly Regularity of Rings[J].Journal of Jilin University Science Edition, 2014, 52(01): 12-16.

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Strongly Regularity of Rings

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