Let $(L,\Cal T)$ be a Tychonoff (regular) paratopological group or algebra over a field or ring $K$ or a topological semigroup. If $\operatorname{nw}(L,\Cal T)\leq \tau$ and $\operatorname{nw}(K)\leq\tau $, then there exists a Tychonoff (regular) topology $\Cal T^*\subseteq \Cal T$ such that $w(L,\Cal T^*)\leq\tau$ and $(L,\Cal T^*)$ is a paratopological group, algebra over $K$ or a topological semigroup respectively.
@article{119267,
author = {Constancio Hern\'andez},
title = {Condensations of Tychonoff universal topological algebras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {42},
year = {2001},
pages = {529-533},
zbl = {1053.54044},
mrnumber = {1860241},
language = {en},
url = {http://dml.mathdoc.fr/item/119267}
}
Hernández, Constancio. Condensations of Tychonoff universal topological algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 529-533. http://gdmltest.u-ga.fr/item/119267/
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