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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 5

Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring

Bijan Davvaz(Yazd University)0000-0003-1941-5372
Gülşen Ulucak(GEBZE TECHNICAL UNIVERSITY)0000-0001-6690-6671
Ünsal Tekir(MARMARA UNIVERSITY)0000-0003-0739-1449
Sayfa
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Yayın Tarihi
2023-10-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we study a version of Nakayama's lemma on a commutative Krasner $ (m,n) $-hyperring.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce new expansion classes, namely weakly $ (k,n) $-absorbing hyperideals and weakly $ (k,n) $-absorbing primary hyperideals of a Krasner $ (m,n) $-hyperring, including $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal.
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Temel Bulgular & Veri:In summary, we give generalizations of $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal.
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Sonuç & Katkı:Finally, we study a version of Nakayama's lemma on a commutative Krasner $ (m,n) $-hyperring.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Krasner (m · n)-hyperring · weakly (k

Abstract

In this paper, we introduce new expansion classes, namely weakly $ (k,n) $-absorbing hyperideals and weakly $ (k,n) $-absorbing primary hyperideals of a Krasner $ (m,n) $-hyperring, including $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal. In summary, we give generalizations of $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal. Also, we examine the relationships between classical hyperideals and the new hyperideals and explore some ways to connect them. Additionally, some main results and examples are given to explain the structures of these concepts. Finally, we study a version of Nakayama's lemma on a commutative Krasner $ (m,n) $-hyperring.

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Bu Makaleye Atıf Yap

Davvaz, B., Ulucak, G., Tekir, Ü. (2023). Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 5. https://doi.org/10.15672/hujms.1199437

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Kaynakça (13)

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