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Journals / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 1

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

Peter DANCHEV
Pages
51–64
Publication Date
2014-01-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, some principal descriptions concerning these new objects are obtained as well.

📌 3 Key Takeaways

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Objective & Hypothesis:Let n ≥ 0 be an arbitrary integer.
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Key Findings & Data: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.
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Conclusion & Impact:Moreover, some principal descriptions concerning these new objects are obtained as well.
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:C-decomposable groups · pω+n-projective groups · strongly n-simply presented groups

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.

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Cite This Article

DANCHEV, P. (2014). ON STRONGLY AND SEPARABLY ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 1, 51–64. https://ajindex.com/articles/669585

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