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A non-locally convex topological algebra with all commutative subalgebras locally convex
Studia Mathematica, Tome 120 (1996) no. 1, pp. 89-94 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We construct a complete multiplicatively pseudoconvex algebra with the property announced in the title. This solves Problem 25 of [6]. 
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W. Żelazko. A non-locally convex topological algebra with all commutative subalgebras locally convex. Studia Mathematica, Tome 120 (1996) no. 1, pp. 89-94. doi: 10.4064/sm-120-1-89-94

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