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Title

On Arens-Michael algebras which do not have non-zero injective ⨶-modules

Authors 1

Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119899 GSP, Russia

Abstract

A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in ℂn, algebras of smooth functions on domains in ℝn, algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.

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Studia Mathematica
1999/133/2
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Pages:
163-174
Main language of publication
English
Received
1998-04-30
Published
1999
Exact and natural sciences