| Title:
|
Characterization of $E\mathcal{F}$-subcompactification (English) |
| Author:
|
Fattahi, Abdolmajid |
| Author:
|
Vishki, H. R. Ebrahimi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
247-250 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For extending the notion of $E$-algebra, as defined in [2], we present an example of an m-admissible algebra which is not an $E$ - algebra. Then we define $E$-subcompactification and $E{\mathcal F}$-subcompactification to study the universal $E$-subcompactification and the universal $E{\mathcal F}$-subcompactification from the function algebras point of view. (English) |
| Keyword:
|
semigroup |
| Keyword:
|
reductive semigroup |
| Keyword:
|
semigroup compactification |
| Keyword:
|
enveloping semigroup |
| Keyword:
|
$E$- subcompactification |
| MSC:
|
20M10 |
| MSC:
|
22A20 |
| MSC:
|
43A60 |
| idZBL:
|
Zbl 1164.22303 |
| idMR:
|
MR2260383 |
| . |
| Date available:
|
2008-06-06T22:48:16Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108003 |
| . |
| Reference:
|
[1] Berglund J. F., Junghenn H. D., Milnes P.: Analysis on Semigroups, Function spaces, Compactifications, Representations.Wiley, New York, 1989. Zbl 0727.22001, MR 0999922 |
| Reference:
|
[2] Fattahi A., Pourabdollah M. A., Sahleh A.: Reductive Compactifications of Semitopological Semigroups.Internat. J. Math. Math. Sci. 51 (2003), 3277–3280. Zbl 1028.22005, MR 2018590 |
| Reference:
|
[3] Howie J. M.: An Introduction to Semigroup Theory.Academic Press, New York, 1976. Zbl 0355.20056, MR 0466355 |
| Reference:
|
[4] Junghenn H. D.: Distal compactifications of semigroups.Trans. Amer. Math. Soc. 274 (1982), 379–397. Zbl 0007.09703, MR 0670940 |
| Reference:
|
[5] Lawson J. D.: Flows and compactifications.J. London Math. Soc. 46 (1992), 349–363. Zbl 0769.54045, MR 1182489 |
| . |
