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Topological Ordered Modules

dc.contributor.authorGarcía Pacheco, Francisco Javier 
dc.contributor.authorMoreno Frías, María Ángeles 
dc.contributor.authorMurillo Arcila, Marina 
dc.contributor.authorRahbariyan, Sakineh
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2026-04-07T06:42:54Z
dc.date.available2026-04-07T06:42:54Z
dc.date.issued2026
dc.identifier.issn1995-0802
dc.identifier.urihttp://hdl.handle.net/10498/39200
dc.description.abstractSufficient conditions are found for the order topology on an ordered module over an ordered ring to be a module topology.More concretely, if $M$ is an ordered module over a topological unital ordered ring such that $M^+\neq \{0\}$, $M^+\backslash\{0\}$ is downward directed, $0\in \cl\left(M^+\backslash\{0\}\right)$, and the module ordering is strong, then the order topology is a module topology. Nontrivial examples are provided showing that these sufficient conditions are not necessary.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherPleiades Publishinges_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceLobachevskii Journal of Mathematics, 2026, Vol. 47, No. 3, pp. 1011–1021es_ES
dc.subjecttopological ringes_ES
dc.subjecttopological modulees_ES
dc.subjectorder topologyes_ES
dc.titleTopological Ordered Moduleses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsclosed accesses_ES
dc.identifier.doi10.1134/S1995080225609634
dc.relation.projectIDinfo:eu-repo/grantAgreement/MCIN/AEI/PID2022-139449NB-I00/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Andalucía/Operator Theory: an interdisciplinary approach/ProyExcel_00780/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Consejería de Economía y Conocimiento. Junta de Andalucía/Plan Andaluz de Investigación/ProyExcel_01036es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Consejería de Economía y Conocimiento. Junta de AndalucíaPlan Andaluz de Investigación/ProyExcel_00868/es_ES
dc.type.hasVersionAMes_ES


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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