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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 1 (January 2023)   > Article

Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents

Dérivations supérieures multiplicatives de type Jordan des anneaux unitaires avec idempotants non-triviaux

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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

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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.

Jordan derivations derivations unital rings matrix algebras

Jordan derivations derivations unital rings matrix algebras



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