Jordan derivations of alternative rings

Bruno Leonardo Macedo Ferreira; Henrique Guzzo; Ruth Nascimento Ferreira; Feng Wei

doi:10.1080/00927872.2019.1659285

Jordan derivations of alternative rings

Bruno Leonardo Macedo Ferreira^*, Henrique Guzzo, Ruth Nascimento Ferreira, Feng Wei

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovič and Širovnik’s to the case of alternative rings.

源语言	英语
页（从-至）	717-723
页数	7
期刊	Communications in Algebra
卷	48
期	2
DOI	https://doi.org/10.1080/00927872.2019.1659285
出版状态	已出版 - 1 2月 2020

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Macedo Ferreira, B. L., Guzzo, H., Nascimento Ferreira, R., & Wei, F. (2020). Jordan derivations of alternative rings. Communications in Algebra, 48(2), 717-723. https://doi.org/10.1080/00927872.2019.1659285

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abstract = "Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovi{\v c} and {\v S}irovnik{\textquoteright}s to the case of alternative rings.",

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AU - Nascimento Ferreira, Ruth

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N2 - Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovič and Širovnik’s to the case of alternative rings.

AB - Let R be a unital alternative ring with nontrivial idempotent and D:R → R be a Jordan derivation. Then D is of the form d + δ, where d is a derivation of R and δ is a singular Jordan derivation of R. Moreover, d and δ are uniquely determined. This extends the main result of Benkovič and Širovnik’s to the case of alternative rings.

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Jordan derivations of alternative rings

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