A cancellative amenable ascending union of nonamenable semigroups

John Donnelly

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 3, page 687-690
  • ISSN: 0011-4642

Abstract

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We construct an example of a cancellative amenable semigroup which is the ascending union of semigroups, none of which are amenable.

How to cite

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Donnelly, John. "A cancellative amenable ascending union of nonamenable semigroups." Czechoslovak Mathematical Journal 61.3 (2011): 687-690. <http://eudml.org/doc/196528>.

@article{Donnelly2011,
abstract = {We construct an example of a cancellative amenable semigroup which is the ascending union of semigroups, none of which are amenable.},
author = {Donnelly, John},
journal = {Czechoslovak Mathematical Journal},
keywords = {amenability; semigroups; ascending union; amenability; semigroup; group; ascending union},
language = {eng},
number = {3},
pages = {687-690},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A cancellative amenable ascending union of nonamenable semigroups},
url = {http://eudml.org/doc/196528},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Donnelly, John
TI - A cancellative amenable ascending union of nonamenable semigroups
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 3
SP - 687
EP - 690
AB - We construct an example of a cancellative amenable semigroup which is the ascending union of semigroups, none of which are amenable.
LA - eng
KW - amenability; semigroups; ascending union; amenability; semigroup; group; ascending union
UR - http://eudml.org/doc/196528
ER -

References

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