Characterization of $E\mathcal{F}$-subcompactification
Archivum mathematicum, Tome 42 (2006) no. 3, pp. 247-250
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.
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.
Classification :
20M10, 22A20, 43A60
Keywords: semigroup; reductive semigroup; semigroup compactification; enveloping semigroup; $E$- subcompactification
Keywords: semigroup; reductive semigroup; semigroup compactification; enveloping semigroup; $E$- subcompactification
@article{ARM_2006_42_3_a5,
author = {Fattahi, Abdolmajid and Vishki, H. R. Ebrahimi},
title = {Characterization of $E\mathcal{F}$-subcompactification},
journal = {Archivum mathematicum},
pages = {247--250},
year = {2006},
volume = {42},
number = {3},
mrnumber = {2260383},
zbl = {1164.22303},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2006_42_3_a5/}
}
Fattahi, Abdolmajid; Vishki, H. R. Ebrahimi. Characterization of $E\mathcal{F}$-subcompactification. Archivum mathematicum, Tome 42 (2006) no. 3, pp. 247-250. http://geodesic.mathdoc.fr/item/ARM_2006_42_3_a5/
[1] Berglund J. F., Junghenn H. D., Milnes P.: Analysis on Semigroups, Function spaces, Compactifications, Representations. Wiley, New York, 1989. | MR | Zbl
[2] Fattahi A., Pourabdollah M. A., Sahleh A.: Reductive Compactifications of Semitopological Semigroups. Internat. J. Math. Math. Sci. 51 (2003), 3277–3280. | MR | Zbl
[3] Howie J. M.: An Introduction to Semigroup Theory. Academic Press, New York, 1976. | MR | Zbl
[4] Junghenn H. D.: Distal compactifications of semigroups. Trans. Amer. Math. Soc. 274 (1982), 379–397. | MR | Zbl
[5] Lawson J. D.: Flows and compactifications. J. London Math. Soc. 46 (1992), 349–363. | MR | Zbl