On direct sums of $\mathcal {B}^{(1)}$-groups

Claudia Metelli

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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...

Quasi-isomorphism and $ℤ_{(2)}$ -representations for a class of Butler groups

H. Pat Goeters, Charles Megibben (2001)

Rendiconti del Seminario Matematico della Università di Padova

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Butler groups cannot be classified by certain invariants

Paul Hill, Charles Megibben (1993)

Rendiconti del Seminario Matematico della Università di Padova

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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.

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

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

Quasi-isomorphism and ℤ ( 2 ) -representations for a class of Butler groups

Butler groups cannot be classified by certain invariants

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

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

On direct sums of $B^{(1)}$ -groups – II

Quasi-isomorphism and $ℤ_{(2)}$ -representations for a class of Butler groups

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