Geodesic
ON FLATNESS COVERS OF CYCLIC ACTS OVER MONOIDS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 163-167

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DOI

The covers of cyclic acts over monoids were investigated by Mahmoudi and Renshaw (M. Mahmoudi and J. Renshaw, On covers of cyclic acts over monoids, Semigroup Forum77 (2008), 325–338) and the authors posed some open problems. In the present paper, we give answers to their problems 1 and 5, and we also give a sufficient and necessary condition that a cyclic act has a weakly pullback flat cover.
DOI : 10.1017/S0017089511000504
Mots-clés : 20M30 
QIAO, HUSHENG; WANG, LIMIN. ON FLATNESS COVERS OF CYCLIC ACTS OVER MONOIDS. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 163-167. doi: 10.1017/S0017089511000504
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     title = {ON {FLATNESS} {COVERS} {OF} {CYCLIC} {ACTS} {OVER} {MONOIDS}},
     journal = {Glasgow mathematical journal},
     pages = {163--167},
     year = {2012},
     volume = {54},
     number = {1},
     doi = {10.1017/S0017089511000504},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000504/}
}
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