On strongly and nicely almost $w_1-p^{w+n}$-projective Abelian $p$-groups

Abstract

We define the classes of strongly almost $w_1-p^{w+n}$-projective abelian $p$-groups and nicely almost $w_1-p^{w+n}$-projective abelian $p$-groups as well as we study their crucial properties. Our results support those obtained by us in Hacettepe J. Math. Stat. (2014) and Korean J. Math. (2014).