ON STRONGLY AND SEPARABLY ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS

Authors : Peter DANCHEV

Pages : 51-64

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Publication Date : 2014-01-01

Article Type : Other Papers

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 insert ignore into journalissuearticles values(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. insert ignore into journalissuearticles values(2010);. Moreover, some principal descriptions concerning these new objects are obtained as well.
Keywords : C decomposable groups, pω n projective groups, strongly n simply presented groups, ω p ω n projective groups, strongly ω p ω n projective groups, boundedsubgroups, countable subgroups, nice subgroups, Ulm subgroups, Ulm factors