Displaying similar documents to “Rings with Primary Ideals as Maximal Ideals.”

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

W. Żelazko (2006)

Studia Mathematica

Similarity:

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.