Displaying similar documents to “On direct sums of ℬ ( 1 ) -groups”

On direct sums of B ( 1 ) -groups – II

Clorinda De Vivo, Claudia Metelli (2006)

Commentationes Mathematicae Universitatis Carolinae

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B ( 1 ) -groups are a class of torsionfree Abelian groups of finite rank, part of the main class of Butler groups. In the paper C. Metelli, , Comment. Math. Univ. Carolinae (1993), 587–591, the problem of direct sums of B ( 1 ) -groups was discussed, and a necessary and sufficient condition was given for the direct sum of two B ( 1 ) -groups to be a B ( 1 ) -group. While sufficiency holds, necessity was wrongly claimed; we solve here the problem, and in the process study a curious hierarchy among...

On Butler B ( 2 ) -groups decomposing over two base elements

Clorinda de Vivo, Claudia Metelli (2009)

Commentationes Mathematicae Universitatis Carolinae

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A B ( 2 ) -group is a sum of a finite number of torsionfree Abelian groups of rank 1 , subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.

A result on B 1 -groups

Ladislav Bican, K. M. Rangaswamy (1995)

Rendiconti del Seminario Matematico della Università di Padova

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