When a unital F-algebra has all maximal left (right) ideals closed?
W. Żelazko
Studia Mathematica, Tome 173 (2006), p. 279-284 / Harvested from The Polish Digital Mathematics Library
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We prove that a real or complex unital F-algebra has all maximal left ideals closed if and only if the set of all its invertible elements is open. Consequently, such an algebra also automatically has all maximal right ideals closed.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284418 
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     title = {When a unital F-algebra has all maximal left (right) ideals closed?},
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     volume = {173},
     year = {2006},
     pages = {279-284},
     zbl = {1125.46035},
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W. Żelazko. When a unital F-algebra has all maximal left (right) ideals closed?. Studia Mathematica, Tome 173 (2006) pp. 279-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-3-6/