2025/12/5
Hoger Ghahramani

Hoger Ghahramani

Academic rank: Professor
ORCID:
Education: PhD.
H-Index:
Faculty: Faculty of Science
ScholarId:
E-mail: h.ghahramani [at] uok.ac.ir
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Research

Title
On the Lie derivations and generalized Lie derivations of quaternion rings
Type
JournalPaper
Keywords
Derivation; generalized derivation; generalized lie derivation; lie derivation; quaternion ring
Year
2019
Journal COMMUNICATIONS IN ALGEBRA
DOI
Researchers Hoger Ghahramani ، Mohammad Nader ghosseiri ، Layla HaydariZadeh

Abstract

Let S be a unital ring in which 2 is invertible, and let R= H(S) be quaternion ring over S. In this paper, we describe the Lie derivations generalized Lie derivations of R, we show that if S is commutative semiprime, then every Lie derivation (resp. generalized Lie derivation) decomposes into the sum of a derivation (resp. generalized derivation) an additive central map that vanishes on all commutators of R.