When a unital F-algebra has all maximal left (right) ideals closed?

• Autorzy: W. Żelazko
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H10: Ideals and subalgebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 175
• Numer: 3
• Strony: 279-284

Daty

wydano

2006

Twórcy

autor

W. Żelazko

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm175-3-6