On Weakly ω1-pω+n-projective Abelian p-groups

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Authors

  • Department of Mathematics, Plovdiv University "P. Hilendarski", Plovdiv 4000 ,BG

Keywords:

Abelian P-Groups, pω, n-projective Groups, Countable Sub-Groups, Nice Subgroups, ω, 1-pω, Ulm Subgroups, Ulm Factors.

Abstract

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