Local derivations on associative and Jordan matrix algebras
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Publication:5006656
DOI10.29229/UZMJ.2019-4-3zbMATH Open1488.16119arXiv1901.08947OpenAlexW2997367596MaRDI QIDQ5006656
Author name not available (Why is that?)
Publication date: 16 August 2021
Published in: (Search for Journal in Brave)
Abstract: In the present paper we prove that every additive (not necessarily homogenous) local inner derivation on the algebra of matrices over an arbitrary field is an inner derivation, and every local inner derivation on the ring of matrices over a finite ring generated by the identity element or the ring of integers is an inner derivation. We also prove that every additive local inner derivation on the Jordan algebra of symmetric matrices over an arbitrary field is a derivation, and every local inner derivation on the Jordan ring of symmetric matrices over a finite ring generated by the identity element or the ring of integers is a derivation.
Full work available at URL: https://arxiv.org/abs/1901.08947
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