DOI: 10.24193/fpt-ro.2026.2.07

Authors: Samuel Castelo Mourelle, Enrique Macías-Virgós, David Mosquera-Lois

Abstract: We introduce two novel complementary notions of the Lefschetz number for a functor from a finite acyclic category to itself and we prove a Lefschetz fixed-object theorem and a Lefschetz fixed-morphism theorem.

Key Words and Phrases: Acyclic category, Lefschetz number, Lefschetz fixed-point theorem

2020 Mathematics Subject Classification: 55M20, 55U10, 47H10.

Published on-line: June 1st, 2026.

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