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Modules whose partial endomorphisms have a ?-small kernels

dc.creatorDiop, Papa Cheikhou
dc.creatorDiallo , Abdoul Djibril
dc.date2020-07-28
dc.date.accessioned2020-07-29T16:38:00Z
dc.date.available2020-07-29T16:38:00Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4315
dc.identifier10.22199/issn.0717-6279-2020-04-0059
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/147147
dc.descriptionLet R be a commutative ring and M a unital R-module. A submodule N is said to be ?-small, if whenever N + L = M with M/L is singular, we have L = M. M is called ?-small monoform if any of its partial endomorphism has ?-small kernel. In this paper, we introduce the concept of ?-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4315/3479
dc.rightsCopyright (c) 2020 Papa Cheikhou Diop, Abdoul Djibril Dialloen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 39 No. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 945-962en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 945-962es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2020-04
dc.subjectSmall submodulesen-US
dc.subjectδ-small submodulesen-US
dc.subjectMonoform modulesen-US
dc.subjectδ-small monoform modulesen-US
dc.subjectArtinian principal ideal ringen-US
dc.titleModules whose partial endomorphisms have a ?-small kernelsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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