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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
@article{10_1017_S0017089511000504,
author = {QIAO, HUSHENG and WANG, LIMIN},
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/}
}
TY - JOUR AU - QIAO, HUSHENG AU - WANG, LIMIN TI - ON FLATNESS COVERS OF CYCLIC ACTS OVER MONOIDS JO - Glasgow mathematical journal PY - 2012 SP - 163 EP - 167 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000504/ DO - 10.1017/S0017089511000504 ID - 10_1017_S0017089511000504 ER -
[1] 1.Amini, A., Ershad, M. and Sharif, H., Rings over which flat covers of finitely generated modules are projective, Comm. Algebra 36 (8) (2008), 2862–2871. Google Scholar | DOI
[2] 2.Stenström, B., Flatness and localization over monoids, Math. Nachr. 48 (1971), 315–334. Google Scholar | DOI
[3] 3.Enochs, E. E., Jenda, O. M. G. and Lopez-Ramos, J. A., The existence of Gorenstein flat covers, Math. Scand. 94 (2004), 46–62. Google Scholar | DOI
[4] 4.Enochs, E. E. and Oyonarte, L., Covers, envelopes and cotorsion theories (Nova Science, New York, 2002). Google Scholar
[5] 5.Fountain, J., Perfect semigroups, Proc. Edinb. Math. Soc. 20 (2) (1976), 87–93. Google Scholar | DOI
[6] 6.Howie, J. M., Fundamentals of semigroup theory. London Mathematical Society Monograph (London Mathematical Society, London, 1995) Google Scholar
[7] 7.Isbell, J., Perfect monoids, Semigroup Forum 2 (1971), 95–118. Google Scholar
[8] 8.Kilp, M., Perfect monoids revisited, Semigroup Forum 53 (1996), 225–229. Google Scholar
[9] 9.Kilp, M. and Laan, V., On flatness properties of cyclic acts, Comm. Algebra 28 (6) (2000), 2919–2926. Google Scholar
[10] 10.Kilp, M., On monoids over which all strongly flat cyclic right acts are projective, Semigroup Forum 52 (1996), 241–245. Google Scholar | DOI
[11] 11.Kilp, M., Knauer, U., Mikhalev, A. V., Monoids, acts and categories, in De Gruyter expositions in mathematics, Vol. 29, (de Gruyter, Berlin, 2000). Google Scholar
[12] 12.Mao, L. and Ding, N., Envelopes and covers by modules of finite FP-injective and flat dimensions, Comm. Algebra 35 (3) (2007), 833–849. Google Scholar | DOI
[13] 13.Mahmoudi, M. and Renshaw, J., On covers of cyclic acts over monoids. Semigroup Forum 77 (2008), 325–338. Google Scholar | DOI
[14] 14.Laan, V., On a generalization of strong flatness. Acta Comment, Univ. Tartu. Math. 2 (1998), 55–60. Google Scholar
[15] 15.Xu, J., Flat covers of modules, in Lecture Notes in Mathematics, Vol. 1634 (Springer, Berlin, 1996). Google Scholar
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