Geodesic
Primary Decomposition for Σ-Groups
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 399-403

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DOI

A Σ-group is an abelian group on which is given a collection of infinite sums having properties suggested by those of absolutely convergent series in R or C. It is shown that the usual decomposition of a torsion abelian group into its p-components carries over to the case of Σ-groups when the property of being torsion is replaced by an appropriate uniform version. For a certain class of Σ-groups, it turns out that being torsion is already sufficient for primary decomposition to hold.
DOI : 10.4153/CMB-1988-057-2
Mots-clés : 20K99 
Brunker, Don; Higgs, Denis. Primary Decomposition for Σ-Groups. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 399-403. doi: 10.4153/CMB-1988-057-2
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     title = {Primary {Decomposition} for {\ensuremath{\Sigma}-Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {399--403},
     year = {1988},
     volume = {31},
     number = {4},
     doi = {10.4153/CMB-1988-057-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-057-2/}
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