Geodesic
On Arens-Michael algebras which do not have non-zero injective ⨶-modules
Studia Mathematica, Tome 133 (1999) no. 2, pp. 163-174

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-133-2-163-174

A. Pirkovskii 1

1 
@article{10_4064_sm_133_2_163_174,
     author = {A. Pirkovskii},
     title = {On {Arens-Michael} algebras which do not have non-zero injective ⨶-modules},
     journal = {Studia Mathematica},
     pages = {163--174},
     publisher = {mathdoc},
     volume = {133},
     number = {2},
     year = {1999},
     doi = {10.4064/sm-133-2-163-174},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-133-2-163-174/}
}
TY  - JOUR
AU  - A. Pirkovskii
TI  - On Arens-Michael algebras which do not have non-zero injective ⨶-modules
JO  - Studia Mathematica
PY  - 1999
SP  - 163
EP  - 174
VL  - 133
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-133-2-163-174/
DO  - 10.4064/sm-133-2-163-174
LA  - en
ID  - 10_4064_sm_133_2_163_174
ER  - 
%0 Journal Article
%A A. Pirkovskii
%T On Arens-Michael algebras which do not have non-zero injective ⨶-modules
%J Studia Mathematica
%D 1999
%P 163-174
%V 133
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-133-2-163-174/
%R 10.4064/sm-133-2-163-174
%G en
%F 10_4064_sm_133_2_163_174
A. Pirkovskii. On Arens-Michael algebras which do not have non-zero injective ⨶-modules. Studia Mathematica, Tome 133 (1999) no. 2, pp. 163-174. doi: 10.4064/sm-133-2-163-174

Cité par Sources :