MATHEMATICS

A note on essentially indecomposable $n$-summable Abelian $p$-groups

P. V. Danchev

Department of Mathematics, Plovdiv University “P. Hilendarski”, Plovdiv 4000, Bulgaria

Abstract: For each natural $n$ we prove that there exists an unbounded $n$-summable abelian $p$-group which is essentially indecomposable. This example parallels a well-known result of this kind established for separable abelian $p$-groups.

Keywords: summable groups, essentially indecomposable groups, admissible Ulm functions, direct sums of countable groups.

UDC: 512.541.6

MSC: 20K10

Received: 06.11.2017

Language: English

DOI: 10.17223/19988621/51/2

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