Cancellative actions

Pierre Antoine Grillet

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 3, page 399-411
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Grillet, Pierre Antoine. "Cancellative actions." Commentationes Mathematicae Universitatis Carolinae 44.3 (2003): 399-411. <http://eudml.org/doc/249202>.

@article{Grillet2003,
abstract = {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.},
author = {Grillet, Pierre Antoine},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semigroup action; monoid action; cancellative action; universal actions; $S$-set; tensor product; semigroup acts; universal acts; group actions; cancellative semigroups; transitive representations of groups; act morphisms; semigroup homomorphisms; universal group acts},
language = {eng},
number = {3},
pages = {399-411},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Cancellative actions},
url = {http://eudml.org/doc/249202},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Grillet, Pierre Antoine
TI - Cancellative actions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 3
SP - 399
EP - 411
AB - 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.
LA - eng
KW - semigroup action; monoid action; cancellative action; universal actions; $S$-set; tensor product; semigroup acts; universal acts; group actions; cancellative semigroups; transitive representations of groups; act morphisms; semigroup homomorphisms; universal group acts
UR - http://eudml.org/doc/249202
ER -

References

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  1. Cirić X., Bogdanović Y., Theory of greatest decompositions of semigroups (a survey), Filomat (Nis) 9:3 (1995), 385-426. (1995) Zbl0848.20054MR1385929
  2. Dubreil P., Contribution à la théorie des demi-groupes, II, Rend. Mat. Appl. 10 (1951), 183-200. (1951) Zbl0045.00802MR0048426
  3. Eilenberg S., Automata, Languages, and Machines, Vol. B, Academic Press, 1976. Zbl0359.94067MR0530383
  4. Grillet P.A., Cancellative coextensions, to appear in Acta Sci. Math. (Szeged). Zbl1053.20055MR2034193
  5. Stenström B., Flatness and localization over monoids, Math. Nachr. 48 (1971), 315-334. (1971) MR0296191

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