González Díaz, RocíoSoriano Trigueros, ManuelTorras Casas, Álvaro2025-08-292025-08-292023González Díaz, R., Soriano Trigueros, M. y Torras Casas, Á. (2023). Partial functions induced by morphisms between of persistence modules. En EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones (pp. 15 p.-18 p.). Universitat Jaume I: Universitat Jaume I.978-84-19647-46-7https://hdl.handle.net/11441/176443Persistence modules are fundamental algebraic structures in topological data analysis. One often needs to understand morphisms between a pair of persistence modules as these appear very naturally in practical situations. Even though one might express such morphisms as the direct sum of indecomposable modules, in most cases the decomposition is out of our reach. We define an easy-to-compute partial function relating the interval decomposition of the domain and codomain of such morphisms. This approach gives information about the inner structure of the morphism in a computable way, allowing their use in topological data analysis.application/pdf4 p.engAttribution-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-sa/4.0/Partial functionsMorphismsModulesinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.6035/INFiTEC.51