Characterization of E ℱ -subcompactification

Abdolmajid Fattahi; H. R. Ebrahimi Vishki

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 3, page 247-250
  • ISSN: 0044-8753

Abstract

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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 ℱ -subcompactification to study the universal E -subcompactification and the universal E ℱ -subcompactification from the function algebras point of view.

How to cite

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Fattahi, Abdolmajid, and Vishki, H. R. Ebrahimi. "Characterization of $E\mathcal {F}$-subcompactification." Archivum Mathematicum 042.3 (2006): 247-250. <http://eudml.org/doc/249797>.

@article{Fattahi2006,
abstract = {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.},
author = {Fattahi, Abdolmajid, Vishki, H. R. Ebrahimi},
journal = {Archivum Mathematicum},
keywords = {semigroup; reductive semigroup; semigroup compactification; enveloping semigroup; $E$- subcompactification; semigroup; reductive semigroup},
language = {eng},
number = {3},
pages = {247-250},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Characterization of $E\mathcal \{F\}$-subcompactification},
url = {http://eudml.org/doc/249797},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Fattahi, Abdolmajid
AU - Vishki, H. R. Ebrahimi
TI - Characterization of $E\mathcal {F}$-subcompactification
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 3
SP - 247
EP - 250
AB - 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.
LA - eng
KW - semigroup; reductive semigroup; semigroup compactification; enveloping semigroup; $E$- subcompactification; semigroup; reductive semigroup
UR - http://eudml.org/doc/249797
ER -

References

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  1. Berglund J. F., Junghenn H. D., Milnes P., Analysis on Semigroups, Function spaces, Compactifications, Representations, Wiley, New York, 1989. (1989) Zbl0727.22001MR0999922
  2. Fattahi A., Pourabdollah M. A., Sahleh A., Reductive Compactifications of Semitopological Semigroups, Internat. J. Math. Math. Sci. 51 (2003), 3277–3280. Zbl1028.22005MR2018590
  3. Howie J. M., An Introduction to Semigroup Theory, Academic Press, New York, 1976. (1976) Zbl0355.20056MR0466355
  4. Junghenn H. D., Distal compactifications of semigroups, Trans. Amer. Math. Soc. 274 (1982), 379–397. (1982) Zbl0007.09703MR0670940
  5. Lawson J. D., Flows and compactifications, J. London Math. Soc. 46 (1992), 349–363. (1992) Zbl0769.54045MR1182489

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