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Principal ideals in $F$-algebras

Principal ideals in $F$-algebras

This paper is concerned with generalizations to F-algebras of theorems which Gleason has proved for finitely generated maximal ideals in Banach algebras.Let A be a uniform commutative F-algebra with identity such that Spec (A) is locally compact; let x be a nonisolated point of Spec (A), and let ker(x) denote …