Linear maps preserving products equal to vertices of a path algebra

Abstract This paper studies bijective linear maps that preserve products equal to the vertices on path algebras over a field. These maps are fully characterized on path algebras associated with connected finite acyclic quivers.

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Publication Details

Journal
Georgian Mathematical Journal
Published
2025-10-27
DOI
https://doi.org/10.1515/gmj-2025-2080
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Linear maps preserving products equal to vertices of a path algebra

Abderrahim Adrabi, Driss Bennis, Brahim Fahid
Georgian Mathematical Journal
Advanced Topics in Algebra
article

Linear maps preserving products equal to vertices of a path algebra

Abderrahim Adrabi, Driss Bennis, Brahim Fahid
article en

Abstract

Abstract This paper studies bijective linear maps that preserve products equal to the vertices on path algebras over a field. These maps are fully characterized on path algebras associated with connected finite acyclic quivers.

Georgian Mathematical Journal
Mohammed V University (MA), Université Ibn-Tofail (MA)
Openalex Percentile: Top 61%
Advanced Topics in Algebra
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