Geodesic
When a unital $F$-algebra has all maximal left (right) ideals closed?
W. Żelazko1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8, P.O. Box 21 00-956 Warszawa, Poland
Studia Mathematica, Tome 175 (2006) no. 3, pp. 279-284

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm175-3-6
Keywords: prove real complex unital f algebra has maximal ideals closed only set its invertible elements consequently algebra automatically has maximal right ideals closed

W. Żelazko 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8, P.O. Box 21 00-956 Warszawa, Poland 
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W. Żelazko. When a unital $F$-algebra
 has all maximal left (right) ideals closed?. Studia Mathematica, Tome 175 (2006) no. 3, pp. 279-284. doi: 10.4064/sm175-3-6

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