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The principal idea of this article is to launch the compositions concerning the permuting n-derivations △ over a ring R. This identity employs investigating facts concerning commutativity beside the centralizer permuting n-derivations to the prime and semiprime rings. The results refer to the centralizer mappings (resp. commuting mappings), and weakly semiprime ideals of a semiprime ring R have a crucial role in making the non-commutative area commutative.

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Compositions Concerning Permuting n-Derivations with Commutativity Over Associative Rings

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  • 发表日期：

    2025年

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  • Mehsin Jabel Atteya

摘要

The principal idea of this article is to launch the compositions concerning the permuting n-derivations △ over a ring R. This identity employs investigating facts concerning commutativity beside the centralizer permuting n-derivations to the prime and semiprime rings. The results refer to the centralizer mappings (resp. commuting mappings), and weakly semiprime ideals of a semiprime ring R have a crucial role in making the non-commutative area commutative.