On Topological Congruences of a Topological Semigroup
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2
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We continue the study of the topological Rees congruences on a topological semigroup. First, we give some necessary and sufficient conditions for the question "when the quotient space of $S$ over one of its ideal $I$ is a $k_\omega$-space?", then we use it to generalize the Rees version of Lawson and Madison's well-known theorem about topological congruences on $S$.
Classification :
22A15, 54D50.
@article{BMMS_2012_35_2_a2,
author = {Behnam Khosravi},
title = {On {Topological} {Congruences} of a {Topological} {Semigroup}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2_a2/}
}
Behnam Khosravi. On Topological Congruences of a Topological Semigroup. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2_a2/