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A Note on Decomposable and Reducible Integer Matrices

dc.contributor.authorMarijuán, Carlos
dc.contributor.authorOjeda, Ignacio
dc.contributor.authorVigneron Tenorio, Alberto 
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2021-10-22T10:03:08Z
dc.date.available2021-10-22T10:03:08Z
dc.date.issued2021-07
dc.identifier.issn2073-8994
dc.identifier.urihttp://hdl.handle.net/10498/25643
dc.description.abstractWe propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix, we associate a symmetric integer matrix whose reducibility can be efficiently determined by elementary linear algebra techniques, and which completely determines the decomposability of the first one.es_ES
dc.description.sponsorshipThis reserach was partially supported by the Ministerio de Economia y Competitividad (Spain)/FEDER-UE under grants PGC2018-096446-B-C21 and MTM2017-84890-P, by the Junta de Extremadura(Spain)/FEDER funds, research group FQM-024, and by the Junta de Andalucia (Spain), research group FQM-366. Documentes_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceSymmetry 2021, 13(7), 1125es_ES
dc.subjectinteger matrixes_ES
dc.subjecthermite normal formes_ES
dc.subjectdecomposable matrixes_ES
dc.subjectreducible matrixes_ES
dc.subjectdisconnected graphes_ES
dc.titleA Note on Decomposable and Reducible Integer Matriceses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.3390/sym13071125
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096446-B-C21/ES/SINGULARIDADES Y GEOMETRIA ALGEBRAICA. SEMIGRUPOS Y AG-CODIGOS CORRECTORES/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84890-P/ES/ESTUDIO Y APLICACIONES DE SEMIGRUPOS NUMERICOS Y AFINES/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Extremadura//FQM-024/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Andalucía//FQM-366es_ES


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Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional