Displaying similar documents to “On Inner Ideals in Ternary Algebras.”

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

W. Żelazko (2006)

Studia Mathematica

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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.

A characterization of Q-algebras of type F

W. Żelazko (2004)

Studia Mathematica

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We prove that a real or complex unital F-algebra is a Q-algebra if and only if all its maximal one-sided ideals are closed.