Jordan $*$-derivations of incidence algebras
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916849796513792 |
|---|---|
| author | Yang, Liuqing |
| author_facet | Yang, Liuqing |
| contents | Let $X$ be a locally finite partially ordered set (poset), $K$ a field of characteristic not 2, and $I(X,K)$ the incidence algebra over $K$. In this paper, we prove that every Jordan $*$-derivation of $I(X,K)$ is an inner $*$-derivation and a transposed Jordan $*$-derivation. Moreover, we demonstrate the existence of Jordan $*$-derivations that are not $*$-derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13751 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jordan $*$-derivations of incidence algebras Yang, Liuqing Rings and Algebras Let $X$ be a locally finite partially ordered set (poset), $K$ a field of characteristic not 2, and $I(X,K)$ the incidence algebra over $K$. In this paper, we prove that every Jordan $*$-derivation of $I(X,K)$ is an inner $*$-derivation and a transposed Jordan $*$-derivation. Moreover, we demonstrate the existence of Jordan $*$-derivations that are not $*$-derivations. |
| title | Jordan $*$-derivations of incidence algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2507.13751 |