Superderivations and Jordan superderivations of generalized quaternion algebras
Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$ of superderivations and $Der_{Js} (H_{\alpha,...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-12-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4411_96d90364fc616945d7a865be5e32f364.pdf |
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| _version_ | 1841560226089664512 |
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| author | Leila Heidari Zadeh |
| author_facet | Leila Heidari Zadeh |
| author_sort | Leila Heidari Zadeh |
| collection | DOAJ |
| description | Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$ of superderivations and $Der_{Js} (H_{\alpha,\beta})$ of Jordan superderivations of $H_{\alpha,\beta}$. It turns out that on generalized quaternion algebras, any superderivation is inner. In particular, there exist Jordan superderivations that are not superderivations. |
| format | Article |
| id | doaj-art-e5df1795320c4d668872e61028d0b209 |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-e5df1795320c4d668872e61028d0b2092025-01-04T19:29:56ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-011351910.22103/jmmr.2024.23328.16264411Superderivations and Jordan superderivations of generalized quaternion algebrasLeila Heidari Zadeh0Department of Mathematics and Statistics, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran.Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$ of superderivations and $Der_{Js} (H_{\alpha,\beta})$ of Jordan superderivations of $H_{\alpha,\beta}$. It turns out that on generalized quaternion algebras, any superderivation is inner. In particular, there exist Jordan superderivations that are not superderivations.https://jmmrc.uk.ac.ir/article_4411_96d90364fc616945d7a865be5e32f364.pdfsuperalgebrasuperderivationjordan superderivationgeneralized quaternion algebra |
| spellingShingle | Leila Heidari Zadeh Superderivations and Jordan superderivations of generalized quaternion algebras Journal of Mahani Mathematical Research superalgebra superderivation jordan superderivation generalized quaternion algebra |
| title | Superderivations and Jordan superderivations of generalized quaternion algebras |
| title_full | Superderivations and Jordan superderivations of generalized quaternion algebras |
| title_fullStr | Superderivations and Jordan superderivations of generalized quaternion algebras |
| title_full_unstemmed | Superderivations and Jordan superderivations of generalized quaternion algebras |
| title_short | Superderivations and Jordan superderivations of generalized quaternion algebras |
| title_sort | superderivations and jordan superderivations of generalized quaternion algebras |
| topic | superalgebra superderivation jordan superderivation generalized quaternion algebra |
| url | https://jmmrc.uk.ac.ir/article_4411_96d90364fc616945d7a865be5e32f364.pdf |
| work_keys_str_mv | AT leilaheidarizadeh superderivationsandjordansuperderivationsofgeneralizedquaternionalgebras |