On Vukman-type functional identities

In this paper, it is established that in the context of division rings with characteristic different from 2 and 3, the zero maps are the only additive maps satisfying either of the functional identities [Formula: see text] or [Formula: see text].

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-12-20
DOI
https://doi.org/10.1142/s0219498827501155
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

On Vukman-type functional identities

Tomás Merchán, Louisa Catalano, Janiah Leavens
Journal of Algebra and Its Applications
Advanced Topics in Algebra
article

On Vukman-type functional identities

Tomás Merchán, Louisa Catalano, Janiah Leavens
article en

Abstract

In this paper, it is established that in the context of division rings with characteristic different from 2 and 3, the zero maps are the only additive maps satisfying either of the functional identities [Formula: see text] or [Formula: see text].

Journal of Algebra and Its Applications
Clayton State University (US)
Openalex Percentile: Top 53%
Advanced Topics in Algebra
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On Vukman-type functional identities — Tomás Merchán, Louisa Catalano, et al. · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS