Sur les Sous-Groupes Purifiables des Groupes Abéliens Primaires
1990 ◽
Vol 33
(1)
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pp. 11-17
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Keyword(s):
AbstractThe class of primary abelian groups whose subsocles are purifiable is not yet completely characterized and it contains the class of direct sums of cyclic groups and torsion complete groups. In sharp constrast with this, the class of groups whose p2-bounded subgroups are purifiable consist only of those groups which are the direct sum of a bounded and a divisible group. Various tools are developed and a short application to the pure envelopes of cyclic subgroups is given in the last section.
1981 ◽
Vol 33
(4)
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pp. 817-825
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Keyword(s):
2011 ◽
Vol 48
(2)
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pp. 247-256
Keyword(s):
1972 ◽
Vol 13
(1)
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pp. 47-48
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Keyword(s):
2013 ◽
Vol 12
(05)
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pp. 1250208
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2017 ◽
Vol 60
(4)
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pp. 791-806
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