On the Lie Centralizers of Quaternion Rings


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Authors: M. A. BAHMANI AND F. GHOMANJANI

DOI: 10.46793/KgJMat2203.471B

Abstract:

In this paper, we investigate the problem of describing the form of Lie centralizers on quaternion rings. We provide some conditions under which a Lie centralizer on a quaternion ring is the sum of a centralizer and a center valued map.



Keywords:

Centralizer, Lie centralizer, quaternion ring.



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