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On dual quaternion algebra
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The purpose of this paper is to prove that every local and 2-local derivation in dual quaternion algebra is a derivation. Also, we determine all biderivations, commuting linear maps, and the centroid of dual quaternion algebra $\mathcal{H}_d$ over the reals.
Abstract
The purpose of this paper is to prove that every local and 2-local derivation in dual quaternion algebra is a derivation. Also, we determine all biderivations, commuting linear maps, and the centroid of dual quaternion algebra $\mathcal{H}_d$ over the reals.
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