2-Local and local derivations on Jordan matrix rings over commutative involutive rings
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917451450548224 |
|---|---|
| author | Ayupov, Sh. A. Arzikulov, F. N. Umrzaqov, N. M. Nuriddinov, O. O. |
| author_facet | Ayupov, Sh. A. Arzikulov, F. N. Umrzaqov, N. M. Nuriddinov, O. O. |
| contents | In the present paper we prove that every 2-local inner derivation on the Jordan ring of self-adjoint matrices over a commutative involutive ring is a derivation. We also apply our technique to various Jordan algebras of infinite dimensional self-adjoint matrix-valued maps on a set and prove that every 2-local spatial derivation on such algebras is a spatial derivation. It is also proved that every local spatial derivation on the same Jordan algebras is a derivation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_03993 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | 2-Local and local derivations on Jordan matrix rings over commutative involutive rings Ayupov, Sh. A. Arzikulov, F. N. Umrzaqov, N. M. Nuriddinov, O. O. Rings and Algebras Operator Algebras 16W25, 46L57, 47B47, 17C65 In the present paper we prove that every 2-local inner derivation on the Jordan ring of self-adjoint matrices over a commutative involutive ring is a derivation. We also apply our technique to various Jordan algebras of infinite dimensional self-adjoint matrix-valued maps on a set and prove that every 2-local spatial derivation on such algebras is a spatial derivation. It is also proved that every local spatial derivation on the same Jordan algebras is a derivation. |
| title | 2-Local and local derivations on Jordan matrix rings over commutative involutive rings |
| topic | Rings and Algebras Operator Algebras 16W25, 46L57, 47B47, 17C65 |
| url | https://arxiv.org/abs/2108.03993 |