Journals / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi / 2006 / Cilt: 22 Sayı: 1

A STRONGLY HEREDITARY RADICAL FOR NEAR-RINGS

YAKIN-HALKALAR İÇİN BİR KUVVETLİ KALITSAL RADİKAL

Emin Aygün(ERCİYES ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK PR.)
Akın Osman Atagün(ERCİYES ÜNİVERSİTESİ, YOZGAT FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK PR.)
Pages
179–183
Publication Date
2006-02-01
DOI
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AI Summary & Key Takeaways

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

Furthermore, it is shown that J 3u N is a strongly hereditary radical and has some interesting properties.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a radical, J 3u N , for near-ring N that is closely related to the radical J 3 N introduced by Holcombe is studied.
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Key Findings & Data:In this paper, a radical, J 3u N , for near-ring N that is closely related to the radical J 3 N introduced by Holcombe is studied.
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Conclusion & Impact:Furthermore, it is shown that J 3u N is a strongly hereditary radical and has some interesting properties.
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Yakın-halka · Jacobson-tip radikaller · N-gruplar

Abstract

In this paper, a radical, J 3u N , for near-ring N that is closely related to the radical J 3 N introduced by Holcombe is studied. Furthermore, it is shown that J 3u N is a strongly hereditary radical and has some interesting properties.

Özet

Bu makalede, yakın-halkalarda Holcombe tarafından tanımlanan J 3 N radikali ile yakından ilgili olan J 3u N radikali çalışıldı. Ayrıca bu J 3u N radikalinin bazı ilginç özelliklere sahip ve kuvvetli kalıtsal radikal olduğu gösterildi.

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Cite This Article

Aygün, E., Atagün, A. O. (2006). A STRONGLY HEREDITARY RADICAL FOR NEAR-RINGS. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Cilt: 22 Sayı: 1, 179–183. https://ajindex.com/articles/1267365

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References (5)

  1. Pilz, G., Near-rings, 2nd ed., Amsterdam, New York, Oxford, North-Holland, 1983.
  2. Holcombe, W. L. M., A Hereditary Radical For Near-Rings, Stu. Sci. Math. 17, 453-456, 1982.
  3. Kaarli, K., Radicals in near-rings, Tartu Riikl. Ül. Toimmesied Vih. 390, 134-171, 1976
  4. Betsch, G., Ein Radical fr Fastringe, Math. Z., 78, 86-90, 1962.
  5. Laxton, R., A radical and its theory for distriibutively generated near-rings, J.London Math. Soc. 38, 40-49, 1963