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Multiplicative Lie-type derivations on alternative rings
Communications in Algebra ( IF 0.7 ) Pub Date : 2020-07-10 , DOI: 10.1080/00927872.2020.1789160
Bruno Leonardo Macedo Ferreira 1 , Henrique Guzzo 2 , Feng Wei 3
Affiliation  

Abstract Let be an alternative ring containing a nontrivial idempotent and be a multiplicative Lie-type derivation from into itself. Under certain assumptions on we prove that is almost additive. Let be the -th commutator defined by n indeterminates If is a unital alternative ring with a nontrivial idempotent and is -torsion free, it is shown under certain condition of and that where δ is a derivation and such that for all

中文翻译:

替代环上的乘法 Lie 型推导

摘要 让 是一个包含非平凡幂等的替代环,并且是从自身到自身的乘法 Lie 型推导。在某些假设下我们证明这几乎是可加的。让 是 n 个不确定定义的第 -th 个交换子 If 是一个具有非平凡幂等的单位替代环,并且是无 - 扭转的,它在 和 的某些条件下显示,其中 δ 是一个导数,并且对于所有
更新日期:2020-07-10
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