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

• Autorzy: A. Yu. Pirkovskii
• Języki publikacji: EN

Abstrakty

EN

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 $ℂ^n$, algebras of smooth functions on domains in $ℝ^n$, algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46M10: Projective and injective objects
• 18G20: Homological dimension

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 133
• Numer: 2
• Strony: 163-174

Daty

wydano

1999

otrzymano

1998-04-30

Twórcy

autor

A. Yu. Pirkovskii

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

Bibliografia

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