$\sigma$-Centralizers of triangular algebras
UDC 512.5 In this paper, we characterize Lie (Jordan) $\sigma$-centralizers of  triangular algebras. More precisely, we prove that, under certain conditions, every Lie $\sigma$-centralizer of a triangular algebra can be represented as the sum of a $\sigma$-centralizer...
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| Дата: | 2023 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6924 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865793684083048448 |
|---|---|
| author | Ashraf, M. Ansari, M. A. Ashraf, M. Ansari, M. A. |
| author_facet | Ashraf, M. Ansari, M. A. Ashraf, M. Ansari, M. A. |
| author_institution_txt_mv | [
{
"author": "M. Ashraf",
"institution": "Department of Mathematics, Aligarh Muslim University, India"
},
{
"author": "M. A. Ansari",
"institution": "Department of Mathematics, Aligarh Muslim University, India"
}
] |
| author_sort | Ashraf, M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-05-14T15:30:11Z |
| description |
UDC 512.5
In this paper, we characterize Lie (Jordan) $\sigma$-centralizers of  triangular algebras. More precisely, we prove that, under certain conditions, every Lie $\sigma$-centralizer of a triangular algebra can be represented as the sum of a $\sigma$-centralizer and a central-valued mapping. Further, it is shown that every Jordan $\sigma$-centralizer of a triangular algebra is a $\sigma$-centralizer. |
| doi_str_mv | 10.37863/umzh.v75i4.6924 |
| first_indexed | 2026-03-24T03:30:37Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-6924 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:30:37Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-69242023-05-14T15:30:11Z $\sigma$-Centralizers of triangular algebras $\sigma$-Centralizers of triangular algebras Ashraf, M. Ansari, M. A. Ashraf, M. Ansari, M. A. Triangular algebra; $\sigma$-centralizer; Lie $\sigma$-centralizer; Jordan $\sigma$-centralizer. UDC 512.5 In this paper, we characterize Lie (Jordan) $\sigma$-centralizers of  triangular algebras. More precisely, we prove that, under certain conditions, every Lie $\sigma$-centralizer of a triangular algebra can be represented as the sum of a $\sigma$-centralizer and a central-valued mapping. Further, it is shown that every Jordan $\sigma$-centralizer of a triangular algebra is a $\sigma$-centralizer. УДК 512.5 $\sigma$-Централізатори трикутних алгебр Охарактеризовано $\sigma$-централізатори Лі (Джордана) трикутних алгебр. Більш точно, доведено, що за певних умов кожен $\sigma$-централізатор Лі трикутної алгебри можна записати як суму $\sigma$-централізатора та центральнозначного відображення.  Крім того, показано, що кожен $\sigma$-централізатор Джордана трикутної алгебри є $\sigma$-централізатором. Institute of Mathematics, NAS of Ukraine 2023-05-10 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/6924 10.37863/umzh.v75i4.6924 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 4 (2023); 435 - 446 Український математичний журнал; Том 75 № 4 (2023); 435 - 446 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6924/9777 Copyright (c) 2023 Mohammad Afajal Ansari |
| spellingShingle | Ashraf, M. Ansari, M. A. Ashraf, M. Ansari, M. A. $\sigma$-Centralizers of triangular algebras |
| title | $\sigma$-Centralizers of triangular algebras |
| title_alt | $\sigma$-Centralizers of triangular algebras |
| title_full | $\sigma$-Centralizers of triangular algebras |
| title_fullStr | $\sigma$-Centralizers of triangular algebras |
| title_full_unstemmed | $\sigma$-Centralizers of triangular algebras |
| title_short | $\sigma$-Centralizers of triangular algebras |
| title_sort | $\sigma$-centralizers of triangular algebras |
| topic_facet | Triangular algebra $\sigma$-centralizer Lie $\sigma$-centralizer Jordan $\sigma$-centralizer. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6924 |
| work_keys_str_mv | AT ashrafm sigmacentralizersoftriangularalgebras AT ansarima sigmacentralizersoftriangularalgebras AT ashrafm sigmacentralizersoftriangularalgebras AT ansarima sigmacentralizersoftriangularalgebras |