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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 6

Reversibility of skew Hurwitz series rings

Fatma Kaynarca
Muhammed Ali Yıldırım
Sayfa
2074–2083
Yayın Tarihi
2022-10-18
DOI
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We examine some characterizations and extensions of $SH$-reversible rings in relation with several ring theoretic properties which have roles in ring theory.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We study the reversibility of skew Hurwitz series at zero as a generalization of an $\alpha$-rigid ring, introducing the concept of skew Hurwitz reversibility.
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Temel Bulgular & Veri:A ring $R$ is called skew Hurwitz reversible ($SH$-reversible, for short), if the skew Hurwitz series ring $(HR,\alpha)$ is reversible i.e. whenever skew Hurwitz series $f, g\in (HR,\alpha)$ satisfy $fg=0$, then $gf=0$.
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Sonuç & Katkı:We examine some characterizations and extensions of $SH$-reversible rings in relation with several ring theoretic properties which have roles in ring theory.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Skew Hurwitz series ring · reversible ring · α-rigid ring

Abstract

We study the reversibility of skew Hurwitz series at zero as a generalization of an $\alpha$-rigid ring, introducing the concept of skew Hurwitz reversibility. A ring $R$ is called skew Hurwitz reversible ($SH$-reversible, for short), if the skew Hurwitz series ring $(HR,\alpha)$ is reversible i.e. whenever skew Hurwitz series $f, g\in (HR,\alpha)$ satisfy $fg=0$, then $gf=0$. We examine some characterizations and extensions of $SH$-reversible rings in relation with several ring theoretic properties which have roles in ring theory.

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Bu Makaleye Atıf Yap

Kaynarca, F., Yıldırım, M. A. (2022). Reversibility of skew Hurwitz series rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 2074–2083. https://ajindex.com/articles/530052

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