# Cancellative actions

Commentationes Mathematicae Universitatis Carolinae (2003)

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

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topGrillet, 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

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

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