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Keywords:
semigroup; reductive semigroup; semigroup compactification; enveloping semigroup; $E$- subcompactification
semigroup; reductive semigroup; semigroup compactification; enveloping semigroup; $E$- subcompactification
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.
References:
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[3] Howie J. M.: An Introduction to Semigroup Theory. Academic Press, New York, 1976. MR 0466355 | Zbl 0355.20056
[4] Junghenn H. D.: Distal compactifications of semigroups. Trans. Amer. Math. Soc. 274 (1982), 379–397. MR 0670940 | Zbl 0007.09703
[5] Lawson J. D.: Flows and compactifications. J. London Math. Soc. 46 (1992), 349–363. MR 1182489 | Zbl 0769.54045
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