Rings with the Minimum Condition for Principal Right Ideals Have the Maximum Condition for Principal Left Ideals.
David Jonah (1970)
Mathematische Zeitschrift
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Displaying similar documents to “Gneralized Hilbert Functions and Resolutions Associated with Maximal One-sided Ideals.”
Rings with the Minimum Condition for Principal Right Ideals Have the Maximum Condition for Principal Left Ideals.
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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.
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Klaus Saatkamp (1978)
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Harbans Lal (1971)
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Yngve Domar (1972)
Mathematische Zeitschrift
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