Öz
Kaynakça
- [1] O.M. Baksalary, G. Trenkler, Core inverse of matrices, Linear Multilinear A. 58(6), 681-697, 2010.
Öz
Let $R$ be a proper $\ast$-ring, $a,b\in R$ and $m\in \mathbb{N}$. It is proved that $a$ is $m$-weak group invertible if and only if $a$ is right hybrid $(a^k,(a^k)^*a^m)$-invertible for some $k\in \mathbb{N}^+$. Several new characterizations of $m$-weak group inverses are presented by means of right ideal and right annihilator. Under the assumption that $a$ has the $m$-weak group inverse $a^{w_m}$, we present some sufficient and necessary conditions which guarantee the additive property to hold for $m$-weak group inverses, namely $(a+b)^{w_m}=(1+a^{w_m}b)^{-1}a^{w_m}$.
Anahtar Kelimeler
m-weak group inverse weak group inverse hybrid (b,c)-inverse pseudo core inverse
Kaynakça
- [1] O.M. Baksalary, G. Trenkler, Core inverse of matrices, Linear Multilinear A. 58(6), 681-697, 2010.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Cebir ve Sayı Teorisi |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 11 Nisan 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 29 Kasım 2024 |
| Kabul Tarihi | 23 Mart 2025 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |