PreprintCC BY-NC-ND 4.0arXiv
A characterization of generalized derivations and biderivations on some simple algebras
Abstract
In this paper, we characterize the generalized derivations and biderivations of the simple seven-dimensional anticommutative algebra D and the seven-dimensional central simple commutative algebra C. Furthermore, we prove that any local generalized derivation of these algebras is inherently a generalized derivation.
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BibTeX
@misc{oubba2026characterization,
title = {{A characterization of generalized derivations and biderivations on some simple algebras}},
author = {Hassan Oubba},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24868},
eprint = {2610.24868},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24868},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A characterization of generalized derivations and biderivations on some simple algebras
AU - Hassan Oubba
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24868
UR - https://arxiv.org/abs/2610.24868
AB - In this paper, we characterize the generalized derivations and biderivations of the simple seven-dimensional anticommutative algebra D and the seven-dimensional central simple commutative algebra C. Furthermore, we prove that any local generalized derivation of these algebras is inherently a generalized derivation.
ER -