论环中的 G-Drazin 偏序

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-05-08 DOI:10.1007/s10474-024-01429-8

G. Dolinar, B. Kuzma, J. Marovt, D. Mosić

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引用次数: 0

摘要

我们将 G-Drazin 逆的概念从所有 \(n\times n\) 复矩阵的集合 \(M_n\) 扩展到具有同一性的环\(\mathcal{R}^{D}\) 中所有 Drazin 可逆元素的集合 \(\mathcal{R}^{D}\)。我们还把由\(M_n\)的 G-Drazin 逆引起的偏序推广到了\(\mathcal{R}^{D}\)中所有正则元素的集合，研究了它的性质，将它与已知偏序进行了比较，并推广了一些已知结果。

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On G-Drazin partial order in rings

We extend the concept of a G-Drazin inverse from the set \(M_n\) of all \(n\times n\) complex matrices to the set \(\mathcal{R}^{D}\) of all Drazin invertible elements in a ring \(\mathcal{R}\) with identity. We also generalize a partial order induced by G-Drazin inverses from \(M_n\) to the set of all regular elements in \(\mathcal{R}^{D}\), study its properties, compare it to known partial orders, and generalize some known results.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.