We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total projectivity. We also show that n-totally projective A-groups are isomorphic if they have isometric p n-socles
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 6, pp. 766–771, June, 2012.
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Keef, P., Danchev, P. On properties of n-totally projective Abelian p-groups. Ukr Math J 64, 875–880 (2012). https://doi.org/10.1007/s11253-012-0685-2
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DOI: https://doi.org/10.1007/s11253-012-0685-2