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On Commutator Socle-Regular Abelian P-Groups, Brendan Goldsmith, Peter Danchev
On Commutator Socle-Regular Abelian P-Groups, Brendan Goldsmith, Peter Danchev
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We define the notion of a commutator socle-regular Abelian p-group. After establishing some crucial properties of commutator socle-regularity, we investigate its relationship with socle-regularity, strong socle-regularity and projection socle-regularity.