A cancellative amenable ascending union of nonamenable semigroups
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 687-690
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We construct an example of a cancellative amenable semigroup which is the ascending union of semigroups, none of which are amenable.
DOI :
10.1007/s10587-011-0039-5
Classification :
20M99, 43A07, 43A17
Keywords: amenability; semigroups; ascending union
Keywords: amenability; semigroups; ascending union
@article{10_1007_s10587_011_0039_5,
author = {Donnelly, John},
title = {A cancellative amenable ascending union of nonamenable semigroups},
journal = {Czechoslovak Mathematical Journal},
pages = {687--690},
publisher = {mathdoc},
volume = {61},
number = {3},
year = {2011},
doi = {10.1007/s10587-011-0039-5},
mrnumber = {2853083},
zbl = {1249.43001},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0039-5/}
}
TY - JOUR AU - Donnelly, John TI - A cancellative amenable ascending union of nonamenable semigroups JO - Czechoslovak Mathematical Journal PY - 2011 SP - 687 EP - 690 VL - 61 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0039-5/ DO - 10.1007/s10587-011-0039-5 LA - en ID - 10_1007_s10587_011_0039_5 ER -
%0 Journal Article %A Donnelly, John %T A cancellative amenable ascending union of nonamenable semigroups %J Czechoslovak Mathematical Journal %D 2011 %P 687-690 %V 61 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0039-5/ %R 10.1007/s10587-011-0039-5 %G en %F 10_1007_s10587_011_0039_5
Donnelly, John. A cancellative amenable ascending union of nonamenable semigroups. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 687-690. doi: 10.1007/s10587-011-0039-5
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