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Communications in Algebra Volume 37, 2009 - Issue 1
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Original Articles

On Monoids for Which all Condition (P) Acts are Strongly Flat

Husheng Qiao Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China; Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, ChinaCorrespondence[email protected]
&
Fang Li Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China
Pages 234-241 | Received 18 Jul 2006, Published online: 09 Oct 2009
 
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Abstract

In this article, we continue to investigate the monoids over which all right S-acts satisfying condition (P) are strongly flat, and we obtain some new classes of monoids, thereby extending all previous results in this area.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The authors would like to thank the referee for the careful reading of the article and valuable suggestions. We would like to thank Professor Victoria Gould for providing the timely communications.

Research supported by the Program for New Century Excellent Talents in University (No. 04-0522) and the National Natural Science Foundation of China (No. 10571153).

Li's project supported by the National Natural Science Foundation of China (No.10871170) and the Zhejiang Provincial Natural Science Foundation of China (No. D7080064).

Notes

Communicated by V. Gould.

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