Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 1 (January 2023) > Article
AB Hamid Kawa
Maulana Azad National Urdu University
India
S N Hasan
Maulana Azad National Urdu University
India
Bilal Ahmad Wani
National Institute of Technology
India
Published on 13 January 2023 DOI : 10.21494/ISTE.OP.2023.0905
Suppose R is a non-zero unital associative ring with a nontrivial idempotent "e". In this paper, we prove that under some mild conditions every multiplicative jordan n-higher derivations on R is additive. Moreover, at the end of the paper, we have presented some applications of multiplicative Jordan n-higher derivations on triangular rings, nest algebra, upper triangular block matrix algebra, prime rings, von Neumann algebras.
Suppose R is a non-zero unital associative ring with a nontrivial idempotent "e". In this paper, we prove that under some mild conditions every multiplicative jordan n-higher derivations on R is additive. Moreover, at the end of the paper, we have presented some applications of multiplicative Jordan n-higher derivations on triangular rings, nest algebra, upper triangular block matrix algebra, prime rings, von Neumann algebras.