In a left-topological semigroup with dense center the closure of any left ideal is an ideal.
Ruppert, W.
Semigroup forum, Tome 36 (1987), p. 247-248 / Harvested from Göttinger Digitalisierungszentrum
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Publié le : 1987-01-01
EUDML-ID : urn:eudml:doc:134899 
@article{GDZPPN001259083,
     title = {In a left-topological semigroup with dense center the closure of any left ideal is an ideal.},
     journal = {Semigroup forum},
     volume = {36},
     year = {1987},
     pages = {247-248},
     zbl = {0623.22004},
     url = {http://dml.mathdoc.fr/item/GDZPPN001259083}
}

Ruppert, W. In a left-topological semigroup with dense center the closure of any left ideal is an ideal.. Semigroup forum, Tome 36 (1987) pp. 247-248. http://gdmltest.u-ga.fr/item/GDZPPN001259083/