Characterization of n-Jordan multipliers on rings

Document Type : Research Paper

Author

Department of Mathematics‎, ‎Faculty of Basic Sciences, ‎Ayatollah Boroujerdi University‎, ‎Boroujerd‎, ‎Iran

Abstract

‎Our main result states that every Jordan multiplier $T$ from a commutative ring $\mathcal{R}$ into a faithful $\mathcal{R}$-bimodule $M$ with characteristic different from $2$‎, ‎is a multiplier. ‎We also generalize this result for all $n\geq 2$ with a suitable condition‎. ‎Furthermore‎, ‎we investigate some illuminating properties of such maps‎. ‎

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