On $p^n$Bext projective abelian $p$-groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 46 (2017), pp. 21-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce the concept of $p^n$Bext projective abelian $p$-groups and show that they form a class which properly contains the class of all $n$-balanced projective $p$-groups. This somewhat enlarges a result due to Keef–Danchev in Houston J. Math. (2012).
Keywords: balanced projectives, $n$-balanced projectives, $p^n$Bext projectives.
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     author = {Peter V. Danchev},
     title = {On $p^n${Bext} projective abelian $p$-groups},
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     url = {http://geodesic.mathdoc.fr/item/VTGU_2017_46_a2/}
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Peter V. Danchev. On $p^n$Bext projective abelian $p$-groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 46 (2017), pp. 21-23. http://geodesic.mathdoc.fr/item/VTGU_2017_46_a2/

[1] Danchev P. V., “Valuated $p^n$-socles and $C_\lambda$ $n$-summable abelian $p$-groups”, Pioneer J. Math. and Math. Sci., 6 (2012), 233–249

[2] Danchev P. V., Keef P. W., “$n$-Summable valuated $p^n$-socles and primary abelian groups”, Commun. Algebra, 38 (2010), 3137–3153 | DOI | MR | Zbl

[3] Keef P. W., Danchev P. V., “On $n$-simply presented primary abelian groups”, Houston J. Math., 38 (2012), 1027–1050 | MR | Zbl

[4] Keef P., Danchev P., “On properties of $n$-totally projective abelian $p$-groups”, Ukrain. Math. J., 64 (2012), 875–880 | DOI | MR | Zbl

[5] Fuchs L., Abelian Groups, Springer, Switzerland, 2015 | Zbl

[6] Hill P., “A summable $C_\Omega$-group”, Proc. Amer. Math. Soc., 23 (1968), 428–430 | MR

[7] Richman F., Walker E., “Valuated groups”, J. Algebra, 56 (1979), 145–167 | DOI | MR | Zbl