Title: | On G-Drazin partial order in rings |
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Authors: | ID Dolinar, Gregor (Author) ID Kuzma, Bojan (Author) ID Marovt, Janko (Author) ID Mosić, Dijana (Author) |
Files: | PDF - Presentation file, download (516,17 KB) MD5: 5C7ECD9CE348E162AA4D6A538595E9C8
URL - Source URL, visit https://link.springer.com/article/10.1007/s10474-024-01429-8
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Language: | English |
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Typology: | 1.01 - Original Scientific Article |
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Organization: | IMFM - Institute of Mathematics, Physics, and Mechanics
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Abstract: | We extend the concept of a G-Drazin inverse from the set $M_n$ of all $n \times n$ complex matrices to the set ${\cal R}^D$ of all Drazin invertible elements in a ring ${\cal R}$ with identity. We also generalize a partial order induced by G-Drazin inverses from $M_n$ to the set of all regular elements in ${\cal R}^D$, study its properties, compare it to known partial orders, and generalize some known results. |
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Keywords: | Drazin inverse, core-nilpotent decomposition, partial order, annihilator, ring |
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Publication status: | Published |
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Publication version: | Version of Record |
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Publication date: | 01.06.2024 |
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Year of publishing: | 2024 |
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Number of pages: | str. 176-192 |
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Numbering: | Vol. 173, iss. 1 |
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UDC: | 512 |
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ISSN on article: | 0236-5294 |
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DOI: | 10.1007/s10474-024-01429-8 ![Link is opened in a new window New window](teme/dirros/img/NovoOkno.png) |
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COBISS.SI-ID: | 205138179 ![Link is opened in a new window New window](teme/dirros/img/NovoOkno.png) |
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Note: |
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Publication date in DiRROS: | 05.09.2024 |
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Views: | 5 |
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Downloads: | 4 |
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Metadata: | ![Export as DC-RDF DC-RDF](teme/dirros/img/icon_dc_rdf.gif) |
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