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Non-degenerate evolution algebras

dc.contributor.authorCalderón Martín, Antonio Jesús 
dc.contributor.authorFernández Ouaridi, Amir 
dc.contributor.authorKaygorodov, Ivan
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2024-05-23T07:50:58Z
dc.date.available2024-05-23T07:50:58Z
dc.date.issued2024
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/10498/32352
dc.description.abstractIn this paper we introduce a new invariant for a non-degenerate evolution algebra, which consists of an ordered sequence of evolution algebras of lower dimension, belonging all of them to a specific family. We use this invariant to propose a method to classify non-degenerate evolution algebras, and we apply it up to dimension 3. We also use it to describe the derivations of some families of evolution algebras and the degenerations of the variety of evolution algebras with square not greater than 1.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.sourceJournal of Pure and Applied Algebra - 2024, Vol. 228 n. 6 pp. 1-26es_ES
dc.subjectEvolution algebraes_ES
dc.subjectCommutative algebraes_ES
dc.subjectAlgebraic classificationes_ES
dc.subjectDerivationses_ES
dc.subjectIrreducible componentes_ES
dc.titleNon-degenerate evolution algebrases_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/J.JPAA.2023.107594
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Andalucía//FEDER-UCA18-107643es_ES
dc.type.hasVersionVoRes_ES


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Attribution-NonCommercial 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial 4.0 Internacional