Abstract B(1)-groups are a subclass of the class of Butler groups, the torsionfree quotients of completely decomposable groups. We study the partition structure associated to a B(1)-group G, a lattice-theoretical feature that is behind the direct sum decompositions of G. We determine some of its properties, and give a contribution to the solution of an open problem, that of deciding when the direct sum of two B(1)-groups is a B(1)-group.
Partition bases and B(1) - groups / I., Caruso; DE VIVO, Clorinda; Metelli, Claudia. - STAMPA. - 249:(2006), pp. 39-50.
Partition bases and B(1) - groups.
DE VIVO, CLORINDA;METELLI, CLAUDIA
2006
Abstract
Abstract B(1)-groups are a subclass of the class of Butler groups, the torsionfree quotients of completely decomposable groups. We study the partition structure associated to a B(1)-group G, a lattice-theoretical feature that is behind the direct sum decompositions of G. We determine some of its properties, and give a contribution to the solution of an open problem, that of deciding when the direct sum of two B(1)-groups is a B(1)-group.File in questo prodotto:
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