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Omega Ideals in Omega Rings and Systems of Linear Equations over Omega Fields

dc.contributor.authorJiménez Meana, Jorge 
dc.contributor.authorSerrano Ortega, María Luisa 
dc.contributor.authorŠešelja, Branimir
dc.contributor.authorTepavčević, Andreja
dc.contributor.editorBordbar, Hashem
dc.date.accessioned2024-01-22T07:54:25Z
dc.date.available2024-01-22T07:54:25Z
dc.date.issued2023
dc.identifier.citationAxioms 2023, 12(8); doi:10.3390/axioms12080757
dc.identifier.issn2075-1680
dc.identifier.urihttps://hdl.handle.net/10651/70911
dc.description.abstractOmega rings (and other related structures) are lattice-valued structures (with Omega being the codomain lattice) defined on crisp algebras of the same type, with lattice-valued equality replacing the classical one. In this paper, omega-ideals are introduced, and natural connections with Omega-congruences and homomorphisms are established. As an application, a framework of approximate solutions of systems of linear equations over Omega-fields is developed.spa
dc.description.sponsorshipThe fourth author’s research is supported by the Ministry of Science, Technological Development and Innovation, through the Mathematical Institute of the Serbian Academy of Sciences and Arts in Belgrade and Faculty of Science, University of Novi Sad.
dc.language.isoengspa
dc.publisherMDPI
dc.relation.ispartofaxiomsspa
dc.rights© 2023 by the authors.
dc.rightsCC Reconocimiento 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectfuzzy algebra
dc.subjectomega ring
dc.subjectfuzzy congruence
dc.subjectfuzzy equality
dc.subjectideals in rings
dc.subjectomega fields
dc.subjectsystems of linear equations
dc.subjectcomplete lattice
dc.titleOmega Ideals in Omega Rings and Systems of Linear Equations over Omega Fieldsspa
dc.typejournal articlespa
dc.identifier.doi10.3390/axioms12080757
dc.relation.publisherversionhttps://doi.org/10.3390/axioms12080757
dc.rights.accessRightsopen accessspa
dc.type.hasVersionVoRspa


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