Characterization of n-Jordan multipliers on rings
Our main result states that every Jordan multiplier $T$ from a commutative ring $\mathcal{R}$ into a faithful $\mathcal{R}$-bimodule $M$ with characteristic different from $2$, is a multiplier. We also generalize this result for all $n\geq 2$ with a suitable condition. Furthermore, we invest...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2025-01-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4470_1fcfb8db815cc2727d4b96b9b59137db.pdf |
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| _version_ | 1841560227853369344 |
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| author | Abbas Zivari-Kazempour |
| author_facet | Abbas Zivari-Kazempour |
| author_sort | Abbas Zivari-Kazempour |
| collection | DOAJ |
| description | Our main result states that every Jordan multiplier $T$ from a commutative ring $\mathcal{R}$ into a faithful $\mathcal{R}$-bimodule $M$ with characteristic different from $2$, is a multiplier. We also generalize this result for all $n\geq 2$ with a suitable condition. Furthermore, we investigate some illuminating properties of such maps. |
| format | Article |
| id | doaj-art-e99c791e2b8040ddaf06e9da3871514d |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-e99c791e2b8040ddaf06e9da3871514d2025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-01141637210.22103/jmmr.2024.23271.16174470Characterization of n-Jordan multipliers on ringsAbbas Zivari-Kazempour0Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, IranOur main result states that every Jordan multiplier $T$ from a commutative ring $\mathcal{R}$ into a faithful $\mathcal{R}$-bimodule $M$ with characteristic different from $2$, is a multiplier. We also generalize this result for all $n\geq 2$ with a suitable condition. Furthermore, we investigate some illuminating properties of such maps. https://jmmrc.uk.ac.ir/article_4470_1fcfb8db815cc2727d4b96b9b59137db.pdf$n$-jordan multiplier$n$-multiplierfaithfulcommutative ring |
| spellingShingle | Abbas Zivari-Kazempour Characterization of n-Jordan multipliers on rings Journal of Mahani Mathematical Research $n$-jordan multiplier $n$-multiplier faithful commutative ring |
| title | Characterization of n-Jordan multipliers on rings |
| title_full | Characterization of n-Jordan multipliers on rings |
| title_fullStr | Characterization of n-Jordan multipliers on rings |
| title_full_unstemmed | Characterization of n-Jordan multipliers on rings |
| title_short | Characterization of n-Jordan multipliers on rings |
| title_sort | characterization of n jordan multipliers on rings |
| topic | $n$-jordan multiplier $n$-multiplier faithful commutative ring |
| url | https://jmmrc.uk.ac.ir/article_4470_1fcfb8db815cc2727d4b96b9b59137db.pdf |
| work_keys_str_mv | AT abbaszivarikazempour characterizationofnjordanmultipliersonrings |