Jordan nilpotency of index up to 4 in group rings

Let [Formula: see text] be an associative ring with identity and [Formula: see text] an arbitrary group. In this paper, we classify group rings [Formula: see text] that are Jordan nilpotent of index less than or equal to 4.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-12-20
DOI
https://doi.org/10.1142/s0219498827501167
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Jordan nilpotency of index up to 4 in group rings

Mariana Cornelissen, Osnel Broche Cristo, Rodrigo Lucas Rodrigues
Journal of Algebra and Its Applications
Rings, Modules, and Algebras
article

Jordan nilpotency of index up to 4 in group rings

Mariana Cornelissen, Osnel Broche Cristo, Rodrigo Lucas Rodrigues
article en

Abstract

Let [Formula: see text] be an associative ring with identity and [Formula: see text] an arbitrary group. In this paper, we classify group rings [Formula: see text] that are Jordan nilpotent of index less than or equal to 4.

Journal of Algebra and Its Applications
Universidade Federal de Minas Gerais (BR), Universidade Federal de Lavras (BR), Universidade Federal do Ceará (BR)
Openalex Percentile: Top 53%
Rings, Modules, and Algebras
DOISourceOpenAlex
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