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.

Bibliografske podrobnosti
Main Authors:	Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Format:	Article
Jezik:	English
Izdano:	MDPI AG 2021-09-01
Serija:	Axioms
Teme:	semigroup group topology permutation convergence
Online dostop:	https://www.mdpi.com/2075-1680/10/4/237

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