Commutant properties of w-core inverses
In this paper, we investigate commutant properties of the w-core inverse in a ∗-semigroup. Among these, it is shown that [Figure presented] if and only if a is equal projection (EP) with [Figure presented], where a and w are elements of a ∗-semigroup. As applications, equivalent conditions such that...
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| Language: | English |
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Elsevier
2025-04-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410825000343 |
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| description | In this paper, we investigate commutant properties of the w-core inverse in a ∗-semigroup. Among these, it is shown that [Figure presented] if and only if a is equal projection (EP) with [Figure presented], where a and w are elements of a ∗-semigroup. As applications, equivalent conditions such that a core invertible element is an EP element are given. Then, commutant properties of the w-core inverse for complex matrices are correspondingly given. Finally, some results on double commutants and the reverse order law for w-core inverses are given. © 2025 The Authors |
| format | Article |
| id | doaj-art-ea96a101561f4bd880156ddf8871a53f |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-ea96a101561f4bd880156ddf8871a53f2025-08-20T03:47:21ZengElsevierKuwait Journal of Science2307-41082307-41162025-04-0152210039010.1016/j.kjs.2025.100390Commutant properties of w-core inversesIn this paper, we investigate commutant properties of the w-core inverse in a ∗-semigroup. Among these, it is shown that [Figure presented] if and only if a is equal projection (EP) with [Figure presented], where a and w are elements of a ∗-semigroup. As applications, equivalent conditions such that a core invertible element is an EP element are given. Then, commutant properties of the w-core inverse for complex matrices are correspondingly given. Finally, some results on double commutants and the reverse order law for w-core inverses are given. © 2025 The Authorshttps://www.sciencedirect.com/science/article/pii/S2307410825000343commutant propertiesep elementsinverses along an elementmoore–penrose inversesw-core inverses |
| spellingShingle | Commutant properties of w-core inverses Kuwait Journal of Science commutant properties ep elements inverses along an element moore–penrose inverses w-core inverses |
| title | Commutant properties of w-core inverses |
| title_full | Commutant properties of w-core inverses |
| title_fullStr | Commutant properties of w-core inverses |
| title_full_unstemmed | Commutant properties of w-core inverses |
| title_short | Commutant properties of w-core inverses |
| title_sort | commutant properties of w core inverses |
| topic | commutant properties ep elements inverses along an element moore–penrose inverses w-core inverses |
| url | https://www.sciencedirect.com/science/article/pii/S2307410825000343 |