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On some questions concerning \(Q\)-algebras. (Sur certaines questions concernant les \(Q\)-algèbres.) (French) Zbl 0995.46033
A commutative normed unitary algebra \(A\) is a \(Q\)-algebra if and only if its ideals are closed. Examples are given to show, respectively, that
(i) every character of \(A\) is continuous but \(A\) is not a \(Q\)-algebra,
(ii) an \(m-\)convex metrizable algebra in which all maximal ideals are closed need not be a \(Q\)-algebra.

MSC:
46J05 General theory of commutative topological algebras
46J20 Ideals, maximal ideals, boundaries
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