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arXiv · 2511.12555

Local superderivation and super-biderivation on generalized quaternion algebra

Hassan Oubba
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Abstract

Let $\mathcal{H}^{a,b}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to investigate super-biderivations and local superderivations on the generalized quaternion algebra, which is viewed as a class of Lie superalgebra. It turns out that on generalized quaternion algebras, any local superderivation is a superderivation.

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Hassan Oubba. 2025-11-16. Local superderivation and super-biderivation on generalized quaternion algebra. https://arxiv.org/abs/2511.12555

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