We consider topological algebras in which all left ideals are closed. We show, in particular, that an F-algebra has this property if, and only if, it is a noetherian Q-algebra.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-2-6, author = {R. Choukri and A. El Kinani and M. Oudadess}, title = {Alg\`ebres topologiques \`a id\'eaux \`a gauche ferm\'es}, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {159-164}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-2-6} }
R. Choukri; A. El Kinani; M. Oudadess. Algèbres topologiques à idéaux à gauche fermés. Studia Mathematica, Tome 166 (2005) pp. 159-164. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-2-6/