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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 5

The $(j,m)$-core inverse in rings with involution

Sanzhang XU
Jianlong CHEN
Dijana MOSİĆ
Sayfa
1676–1685
Yayın Tarihi
2020-10-06
DOI
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Moreover, several additive and product properties of two $(j,m)$-core invertible elements are investigated and a order related to the $(j,m)$-core inverse is introduced.***********************************************************************************************************************************

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $R$ be a unital ring with involution.
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Temel Bulgular & Veri:The $(j,m)$-core inverse of a complex matrix was extended to an element in $R$.
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Sonuç & Katkı:Moreover, several additive and product properties of two $(j,m)$-core invertible elements are investigated and a order related to the $(j,m)$-core inverse is introduced.***********************************************************************************************************************************
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Moore-Penrose inverse · (j-m) core inverse · EP element

Abstract

Let $R$ be a unital ring with involution. The $(j,m)$-core inverse of a complex matrix was extended to an element in $R$. New necessary and sufficient conditions such that an element in $R$ to be $(j,m)$-core invertible are given. Moreover, several additive and product properties of two $(j,m)$-core invertible elements are investigated and a order related to the $(j,m)$-core inverse is introduced.***********************************************************************************************************************************

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Bu Makaleye Atıf Yap

XU, S., CHEN, J., MOSİĆ, D. (2020). The $(j,m)$-core inverse in rings with involution. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1676–1685. https://ajindex.com/articles/669267

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Kaynakça (14)

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