Centralizing n-Homoderivations of Semiprime Rings

M. S. Tammam El-Sayiad, A. Ageeb, A. Ghareeb and Francesca Tartarone

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: We introduce the notion of n-homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n-homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses, we prove commutativity in prime rings.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1112183

DOI: 10.1155/2022/1112183

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