| 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) |
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| 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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| PID: | 20.500.12556/DiRROS-20378-2d742a42-279e-1245-edc7-6bf93e7ade04  |
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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 |
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| COBISS.SI-ID: | 205138179 |
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| Note: |
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| Publication date in DiRROS: | 05.09.2024 |
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| Views: | 849 |
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| Downloads: | 452 |
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