A characterization of $F$-algebras with all one-sided ideals closed

Volume 168 / 2005

W. Żelazko Studia Mathematica 168 (2005), 135-145 MSC: 46H10, 13E05. DOI: 10.4064/sm168-2-4


We prove that a real or complex $F$-algebra has all left and right ideals closed if and only if it is noetherian.


  • W. ŻelazkoInstitute of Mathematics
    Polish Academy of Sciences
    P.O. Box 21, 00-956 Warszawa, Poland

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