On Weakly &#969; 1 -p &#969;+n -projective Abelian p-groups

Peter V. Danchev

Vol 80, No 1-2 (2013)
Pages: 33-46
Published: 2013-08-01

On Weakly ω₁-p^ω+n-projective Abelian p-groups

Peter V. Danchev

Affiliations
1 Department of Mathematics, Plovdiv University "P. Hilendarski", Plovdiv 4000, Bulgaria

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We define the class K of weakly ω₁-p^ω+n-projectives which consists of abelian p-groups G such that there exists a countable nice subgroup N ⊆ p^ωG with G/(N + p^ω+nG) being p^ω+n-projective. It is shown that K properly contains the class of ω₁-p^ω+n-projectives. More-over, some crucial properties of this new object K are also obtained.