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Dergiler / International Electronic Journal of Algebra / 2026 / Volume: 40 Issue: 40

G-outer inverses and partial orders in rings

Marija Petrovic(University of Nis)
Sayfa
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Yayın Tarihi
2026-07-16
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Consequently, one-sided G-Drazin inverses are introduced for elements of a ring as well as partial orders induced by them.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The notions of G-outer inverse and its one-sided versions for rectangular complex matrices are generalized to elements of a ring based on the $(b,c)$-inverse.
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Temel Bulgular & Veri:Various properties and characterizations of G-outer inverse and its one-sided kinds are developed.
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Sonuç & Katkı:Consequently, one-sided G-Drazin inverses are introduced for elements of a ring as well as partial orders induced by them.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$(b · c)$-inverse · G-outer inverse

Abstract

The notions of G-outer inverse and its one-sided versions for rectangular complex matrices are generalized to elements of a ring based on the $(b,c)$-inverse. Various properties and characterizations of G-outer inverse and its one-sided kinds are developed. We consider partial orders applying G-outer inverse and its one-sided types in a ring. Consequently, one-sided G-Drazin inverses are introduced for elements of a ring as well as partial orders induced by them.

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Bu Makaleye Atıf Yap

Petrovic, M. (2026). G-outer inverses and partial orders in rings. International Electronic Journal of Algebra, Volume: 40 Issue: 40. https://doi.org/10.24330/ieja.1925631

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Kaynakça (17)

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