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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

Equiprime n-ideals of monogenic n-groups

Akın Osman ATAGÜN
Hüseyin ALTINDİŞ
Funda TAŞDEMİR
Sayfa
375–382
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We show that if P is an equiprime iV-ideal of $Gamma$, then $(P :Gamma)_N$ is an equiprime ideal of N, and that the converse holds when N is a right permutable near-ring and $Gamma$ is a monogenic N-group.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we introduce the notion of equiprime iV-ideals where N is a near-ring.
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Temel Bulgular & Veri:We consider the interconnections of equiprime, 3-prime and completely prime N-ideals of a monogenic N-group $Gamma$.
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Sonuç & Katkı:We show that if P is an equiprime iV-ideal of $Gamma$, then $(P :Gamma)_N$ is an equiprime ideal of N, and that the converse holds when N is a right permutable near-ring and $Gamma$ is a monogenic N-group.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we introduce the notion of equiprime iV-ideals where N is a near-ring. We consider the interconnections of equiprime, 3-prime and completely prime N-ideals of a monogenic N-group $Gamma$. We show that if P is an equiprime iV-ideal of $Gamma$, then $(P :Gamma)_N$ is an equiprime ideal of N, and that the converse holds when N is a right permutable near-ring and $Gamma$ is a monogenic N-group.

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Bu Makaleye Atıf Yap

ATAGÜN, A. O., ALTINDİŞ, H., TAŞDEMİR, F. (2022). Equiprime n-ideals of monogenic n-groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 375–382. https://ajindex.com/articles/530592

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