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Bull. Korean Math. Soc. 2014; 51(4): 1015-1022

Printed July 31, 2014

https://doi.org/10.4134/BKMS.2014.51.4.1015

Copyright © The Korean Mathematical Society.

On some open problems of Mahmoudi and Renshaw

Husheng Qiao and Chongqing Wei

Northwest Normal University, Northwest Normal University

Abstract

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This paper continues the investigation of covers of cyclic acts over monoids. Special attention is paid to (P)-covers and strongly flat covers of cyclic acts. In 2008 Mahmoudi and Renshaw posed some open problems and we gave some examples on them in 2012. In this paper, we obtained some further results on these problems and hence gave some deeper answers to them.

Keywords: (P)-cover, strongly flat cover, cyclic act

MSC numbers: 20M30

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