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.

Manylion Llyfryddiaeth
Prif Awduron:	Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Fformat:	Erthygl
Iaith:	English
Cyhoeddwyd:	MDPI AG 2021-09-01
Cyfres:	Axioms
Pynciau:	semigroup group topology permutation convergence
Mynediad Ar-lein:	https://www.mdpi.com/2075-1680/10/4/237

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