Hypomodules and amenability of pseudo-complete locally convex algebras. (English) Zbl 1526.46032
Summary: Given a pseudo-complete locally convex algebra \(A\), we define for \(A\) flat hypomodules and cyclic flat hypomodules in line with hypocontinuous multiplication in \(A\). We generalize results available on amenability of Fréchet algebras by using locally bounded approximate identity for pseudo-complete locally convex algebras endowed with the strict inductive limit topology.
MSC:
| 46H25 | Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) |
| 46H20 | Structure, classification of topological algebras |
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