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Danchev, Peter V.
- On Weakly ω1-pω+n-projective Abelian p-groups
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1 Department of Mathematics, Plovdiv University "P. Hilendarski", Plovdiv 4000, BG
1 Department of Mathematics, Plovdiv University "P. Hilendarski", Plovdiv 4000, BG
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 33-46Abstract
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.Keywords
Abelian P-Groups, pω+n-projective Groups, Countable Sub-Groups, Nice Subgroups, ω1-pω+n-projective Groups, Ulm Subgroups, Ulm Factors.- On κ-Bijective Homomorphisms of Totally Projective Abelian p-Groups
Abstract Views :220 |
PDF Views:3
Authors
Affiliations
1 Department of Mathematics, Plovdiv University, Plovdiv 4000, BG
1 Department of Mathematics, Plovdiv University, Plovdiv 4000, BG