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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

On J-rigid rings

Soraya Karimi
Shervin Sahebi
Mohammad Habibi
Sayfa
1815–1823
Yayın Tarihi
2022-10-18
DOI
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Moreover, we prove that every ring isomorphism preserves J-rigid structure,and several known results are extended.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let R be a ring with an endomorphism σ.
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Temel Bulgular & Veri:We introduce the notion of σ-J-rigid rings asa generalization of σ-rigid rings, and investigate its properties.
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Sonuç & Katkı:Moreover, we prove that every ring isomorphism preserves J-rigid structure,and several known results are extended.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let R be a ring with an endomorphism σ. We introduce the notion of σ-J-rigid rings asa generalization of σ-rigid rings, and investigate its properties. It is proved that a ring Ris σ-J-rigid if and only if R[[x; σ]] is ¯σ-J-rigid, while the σ-J-rigid property is not Moritainvariant. Moreover, we prove that every ring isomorphism preserves J-rigid structure,and several known results are extended.

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Bu Makaleye Atıf Yap

Karimi, S., Sahebi, S., Habibi, M. (2022). On J-rigid rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1815–1823. https://ajindex.com/articles/529753

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Kaynakça (13)

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