Homological dimensions of K"othe algebras

Mathematics – Functional Analysis

Scientific paper

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13 pages

Scientific paper

10.1070/SM2008v199n05ABEH003939

Given a metrizable K"othe algebra $\lambda(P)$, we compute the global
dimension, the weak global dimension, the bidimension, and the weak bidimension
of $\lambda(P)$ in terms of the K"othe set $P$.

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