| Title:
|
Cancellative actions (English) |
| Author:
|
Grillet, Pierre Antoine |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
399-411 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
semigroup action |
| Keyword:
|
monoid action |
| Keyword:
|
cancellative action |
| Keyword:
|
universal actions |
| Keyword:
|
$S$-set |
| Keyword:
|
tensor product |
| MSC:
|
18B40 |
| MSC:
|
20M20 |
| MSC:
|
20M30 |
| MSC:
|
20M50 |
| idZBL:
|
Zbl 1101.20033 |
| idMR:
|
MR2025809 |
| . |
| Date available:
|
2009-01-08T19:30:09Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119397 |
| . |
| Reference:
|
[1] Cirić X., Bogdanović Y.: Theory of greatest decompositions of semigroups (a survey).Filomat (Nis) 9:3 (1995), 385-426. Zbl 0848.20054, MR 1385929 |
| Reference:
|
[2] Dubreil P.: Contribution à la théorie des demi-groupes, II.Rend. Mat. Appl. 10 (1951), 183-200. Zbl 0045.00802, MR 0048426 |
| Reference:
|
[3] Eilenberg S.: Automata, Languages, and Machines.Vol. B, Academic Press, 1976. Zbl 0359.94067, MR 0530383 |
| Reference:
|
[4] Grillet P.A.: Cancellative coextensions.to appear in Acta Sci. Math. (Szeged). Zbl 1053.20055, MR 2034193 |
| Reference:
|
[5] Stenström B.: Flatness and localization over monoids.Math. Nachr. 48 (1971), 315-334. MR 0296191 |
| . |
