Topological algebras with ascending or descending chain condition
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We examine some topological algebras with ascending or descending chain condition. We prove that a commutative noetherian F-algebra is necessarily a Q-algebra. We characterize noetherian F-algebras which are Q-algebras among those whose left ideals are closed. We show that any commutative artinian m-convex algebra is finite dimensional.
KeywordsLeft Ideal Chain Condition Topological Algebra Descend Chain Condition
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