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 , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.
@article{bwmeta1.element.bwnjournal-article-smv133i2p163bwm, author = {A. Pirkovskii}, title = {On Arens-Michael algebras which do not have non-zero injective -modules}, journal = {Studia Mathematica}, volume = {133}, year = {1999}, pages = {163-174}, zbl = {0920.46051}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv133i2p163bwm} }
Pirkovskii, A. On Arens-Michael algebras which do not have non-zero injective ⨶-modules. Studia Mathematica, Tome 133 (1999) pp. 163-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i2p163bwm/
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