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Journals / 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 MOSİC
Pages
1676–1685
Publication Date
2022-10-18
DOI
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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 matrixwas 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:Domain Parameters

Abstract

Let R be a unital ring with involution. The (j,m)-core inverse of a complex matrixwas 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., MOSİC, D. (2022). 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/529561

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