MATHEMATICS

Strongly and solidly $\omega_1$-weak $p^{\omega\cdot 2+n}$-projective abelian $p$-groups

Peter V. Danchev

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

Abstract: We define the classes of strongly $\omega_1$-weak $p^{\omega\cdot 2+n}$-projective, solidly $\omega_1$-weak $p^{\omega\cdot 2+n}$-projective and nicely $\omega_1$-weak $p^{\omega\cdot 2+n}$-projective abelian $p$-groups and study their crucial properties. This continues our recent investigations of this branch, published in Hacettepe J. Math. Stat. (2013) and Bull. Malaysian Math. Sci. Soc. (2014), respectively.

Keywords: $\Sigma$-cyclic groups, $p^{\omega+n}$-projective groups, $\omega_1$-$p^{\omega\cdot 2+n}$-projective groups, strongly $\omega_1$-$p^{\omega+n}$-projective groups.

UDC: 512.540

MSC: 20K10

Received: 03.02.2021

Language: English

DOI: 10.17223/19988621/71/1

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