Series with commuting terms in topologized semigroups

Castejón Lafuente, Alberto EliasAutor UVIGO; Corbacho Rosas, Eusebio TirsoAutor UVIGO; Tarieladze, Vaja
DATE: 2021-09-24
UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/2945
EDITED VERSION: https://www.mdpi.com/2075-1680/10/4/237
UNESCO SUBJECT: 12 Matemáticas ; 1204 Geometría
DOCUMENT TYPE: article

ABSTRACT

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.
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