We present an example of an algebra that is generated by elements, and cannot be made a topological algebra. This answers a problem posed by W. Żelazko.
@article{bwmeta1.element.bwnjournal-article-smv116i1p85bwm, author = {R. Frankiewicz and G. Plebanek}, title = {An example of a non-topologizable algebra}, journal = {Studia Mathematica}, volume = {113}, year = {1995}, pages = {85-87}, zbl = {0839.46041}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv116i1p85bwm} }
Frankiewicz, R.; Plebanek, G. An example of a non-topologizable algebra. Studia Mathematica, Tome 113 (1995) pp. 85-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv116i1p85bwm/
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