article · Georgian Mathematical Journal

Linear maps preserving products equal to vertices of a path algebra

2025Ibn Tofail University

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.

Research topics

Advanced Topics in Algebra
Advanced Operator Algebra Research
Algebraic structures and combinatorial models

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DOI: 10.1515/gmj-2025-2080

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