International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 104725 | https://doi.org/10.1155/S0161171203202052

Abdolmajid Fattahi, Mohamad Ali Pourabdollah, Abbas Sahleh, "Reductive compactifications of semitopological semigroups", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 104725, 4 pages, 2003. https://doi.org/10.1155/S0161171203202052

Reductive compactifications of semitopological semigroups

Received10 Feb 2002

Abstract

We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion of E-algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universal E-compactification is also given.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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