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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 2

n-Hopfian and n-co-Hopfian Abelian Groups

Andrey Chekhlov
Peter Danchev
Pages
479–489
Publication Date
2022-10-18
DOI
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Mathematics Subject Classification (2010). 20K10, 20K20, 20K21

📌 3 Key Takeaways

🎯
Objective & Hypothesis:For any natural number n we define and study the two notions of n-Hopfian and n-co- Hopfian abelian groups.
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Key Findings & Data:These groups form proper subclasses of the classes of Hopfian and co-Hopfian groups, respectively, and some of their exotic properties are established as well.
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Conclusion & Impact:Mathematics Subject Classification (2010). 20K10, 20K20, 20K21
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Domain Parameters

Abstract

For any natural number n we define and study the two notions of n-Hopfian and n-co- Hopfian abelian groups. These groups form proper subclasses of the classes of Hopfian and co-Hopfian groups, respectively, and some of their exotic properties are established as well. We also consider and investigate ω-Hopfian and ω-co-Hopfian modules over the formal matrix ring. Mathematics Subject Classification (2010). 20K10, 20K20, 20K21

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Cite This Article

Chekhlov, A., Danchev, P. (2022). n-Hopfian and n-co-Hopfian Abelian Groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 2, 479–489. https://ajindex.com/articles/529775

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References (11)

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