| 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: |  https://link.springer.com/article/10.1007/s10474-024-01429-8#preview
 On_G-Drazin_partial_order_in_rings.pdf (516,18 KB)
MD5: 77A023DACDB888D569240FB5EFF31B44
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | EPF - Faculty of Business and Economics
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| Abstract: | We extend the concept of a G-Drazin inverse from the set Mn of all n × n complex matrices to the set RD of all Drazin invertible elements in a ring R with identity. We also generalize a partial order induced by G-Drazin inverses from Mn to the set of all regular elements in RD , 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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| Submitted for review: | 05.11.2023 |
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| Article acceptance date: | 06.02.2024 |
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| Publication date: | 08.05.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 176-192 |
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| Numbering: | ǂVol. ǂ173, ǂiss. ǂ1 |
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| PID: | 20.500.12556/DKUM-90280  |
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| UDC: | 512 |
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| ISSN on article: | 0236-5294 |
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| COBISS.SI-ID: | 205138179 |
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| DOI: | 10.1007/s10474-024-01429-8 |
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| Publication date in DKUM: | 01.07.2025 |
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| Views: | 112 |
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| Downloads: | 5 |
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| Metadata: |    |
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| Categories: | Misc.
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