| Title: | On G-S and C-S inverses in *-rings |
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| Authors: | ID Marovt, Janko (Author)
ID Mosić, Dijana (Author) |
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| Files: |  https://www.tandfonline.com/doi/full/10.1080/00927872.2024.2370466
 On_G-S_and_C-S_inverses_in_-rings.pdf (1,73 MB)
MD5: 42564313C36823E4E285C3552F9E404C
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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: | The notions of the G-S inverse and the C-S inverse are extended from the set
of all complex n × n matrices to ∗-rings. We present new characterizations of
these inverses, study their properties, and apply the C-S inverse to introduce
two relations on the set R d© of all core-EP invertible elements in a ∗-ring with
identity. We explore the connection between these two relations and the star
partial order and prove that one of them is a partial order on R d©. |
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| Keywords: | *-rings, core-EP decomposition, C-S inverse, C-S partia order, Drazin inverse |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 19.03.2024 |
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| Article acceptance date: | 13.06.2024 |
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| Publication date: | 25.06.2024 |
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| Publisher: | M. Dekker. |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 5320-5338 |
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| Numbering: | Vol. 52, no. 12 |
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| PID: | 20.500.12556/DKUM-92388  |
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| UDC: | 512 |
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| ISSN on article: | 0092-7872 |
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| COBISS.SI-ID: | 218624259 |
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| DOI: | 10.1080/00927872.2024.2370466 |
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| Publication date in DKUM: | 01.07.2025 |
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| Views: | 196 |
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| Downloads: | 16 |
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| Metadata: |    |
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| Categories: | Misc.
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