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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 5

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

Sanzhang Xu(Huaiyin Institute of Technology)0000-0002-9744-477X
Jianlong Chen(Southeast University)0000-0002-6798-488X
Dijana Mosić(University of Niš)0000-0002-3255-9322
Pages
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Publication Date
2020-10-06
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:Let $R$ be a unital ring with involution.
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Key Findings & Data:The $(j,m)$-core inverse of a complex matrix was extended to an element in $R$.
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Conclusion & Impact: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. ***********************************************************************************************************************************
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

Xu, S., Chen, J., Mosić, D. (2020). The $(j,m)$-core inverse in rings with involution. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 5. https://doi.org/10.15672/hujms.701870

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