Superderivations and Jordan superderivations of generalized quaternion algebras

Document Type : Special Issue: First Joint IIIMT-Algebra Forum Conference 2023

Author

Department of Mathematics and Statistics, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran.

Abstract

Let Hα,β be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of Hα,β and hence to obtain the superalgebra Ders(Hα,β) of superderivations and DerJs(Hα,β) of Jordan superderivations of Hα,β. It turns out that on generalized quaternion algebras, any superderivation is inner.  In particular, there exist Jordan superderivations that are not superderivations.

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References

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Journal of Mahani Mathematical Research
Volume 13, Issue 5 - Serial Number 30
Special Issue: First Joint IIIMT-Algebra Forum Conference 2023
December 2024
Pages 1-9

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History

  • Receive Date: 30 April 2024
  • Revise Date: 22 July 2024
  • Accept Date: 04 August 2024

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