Article
| Title: | New representations of $(b, c)$-inverses (English) |
| Author: | Fang, Li |
| Author: | Zhao, Liang |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 4 |
| Year: | 2025 |
| Pages: | 1117-1131 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We investigate how to give new representations of $(b,c)$-inverses in terms of core inverses and Drazin inverses. Various new criteria and representations of $(b,c)$-inverses in terms of core inverses and Drazin inverses are established from a new perspective. Since Moore-Penrose inverses, pseudo-inverses, core inverses, dual core inverses, and Bott-Duffin $(e, f )$-inverses are the special cases of $(b, c)$-inverses, new characterizations involving these generalized inverses are also established as corollaries of our results. (English) |
| Keyword: | $(b,c)$-inverse |
| Keyword: | core inverse |
| Keyword: | Drazin inverse |
| MSC: | 15A09 |
| MSC: | 16E50 |
| MSC: | 16U80 |
| DOI: | 10.21136/CMJ.2025.0409-24 |
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| Date available: | 2025-12-20T07:14:43Z |
| Last updated: | 2025-12-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153234 |
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