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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
##### Keywords:
character; $$m$$-convex metrizable algebra; maximal ideals
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