Series with Commuting Terms in Topologized Semigroups

Series with Commuting Terms in Topologized Semigroups

We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.

Dettagli Bibliografici
Autori principali:	Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Natura:	Articolo
Lingua:	English
Pubblicazione:	MDPI AG 2021-09-01
Serie:	Axioms
Soggetti:	semigroup group topology permutation convergence
Accesso online:	https://www.mdpi.com/2075-1680/10/4/237

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