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- W3146062244 abstract "Abstract Let G be an abelian group. The aim of this short paper is to describe a way to identify pure subgroups H of G by looking only at how the subgroup lattice $$mathcal {L}(H)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>L</mml:mi> <mml:mo>(</mml:mo> <mml:mi>H</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> embeds in $$mathcal {L}(G)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>L</mml:mi> <mml:mo>(</mml:mo> <mml:mi>G</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> . It is worth noticing that all results are carried out in a local nilpotent context for a general definition of purity." @default.
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- W3146062244 date "2021-04-05" @default.
- W3146062244 modified "2023-10-05" @default.
- W3146062244 title "A lattice-theoretic characterization of pure subgroups of Abelian groups" @default.
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- W3146062244 doi "https://doi.org/10.1007/s11587-021-00580-6" @default.
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