Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 1
ON STRONGLY AND SEPARABLY ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS
- Sayfa
- 51–64
- DOI
- —
Özet
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Abstract
Let n ≥ 0 be an arbitrary integer. We prove some results for stronglyn-simply presented abelian p-groups with C-decomposable property, extending classical achievements due to Keef in Commun. Algebra (1990).As applications we define the classes of strongly ω-p ω+n -projective andseparably ω-p ω+n -projective abelian p-groups which are also properlycontained in all ω-p ω+n -projectives, recently defined by Keef in J. Alg.Numb. Th. Acad. (2010). Moreover, some principal descriptions concerning these new objects are obtained as well.