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On algebrability of nonabsolutely convergent series
Authors:Artur Bartoszewicz  Tadeusz Poreda
Affiliation:Institute of Mathematics, Technical University of ?ód?, Wólczańska 215, 93-005 ?ód?, Poland
Abstract:We prove that the set of all complex series which are nonabsolutely convergent is c-algebrable. We establish a similar result for the set of all divergent complex series with bounded partial sums.
Keywords:Primary:   40A05   Secondary:   15A03
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