Cancellative actions
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 399-411
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The following problem is considered: when can the action of a cancellative semigroup $S$ on a set be extended to a simply transitive action of the universal group of $S$ on a larger set.
The following problem is considered: when can the action of a cancellative semigroup $S$ on a set be extended to a simply transitive action of the universal group of $S$ on a larger set.
Classification :
18B40, 20M20, 20M30, 20M50
Keywords: semigroup action; monoid action; cancellative action; universal actions; $S$-set; tensor product
Keywords: semigroup action; monoid action; cancellative action; universal actions; $S$-set; tensor product
@article{CMUC_2003_44_3_a1,
author = {Grillet, Pierre Antoine},
title = {Cancellative actions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {399--411},
year = {2003},
volume = {44},
number = {3},
mrnumber = {2025809},
zbl = {1101.20033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2003_44_3_a1/}
}
Grillet, Pierre Antoine. Cancellative actions. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 399-411. http://geodesic.mathdoc.fr/item/CMUC_2003_44_3_a1/