DC FieldValueLanguage
dc.contributor.authorJimenez, Jorgeen_US
dc.contributor.authorSerrano, María Luisaen_US
dc.contributor.authorŠešelja, Branimiren_US
dc.contributor.authorTepavčević, Andrejaen_US
dc.date.accessioned2023-11-23T14:08:01Z-
dc.date.available2023-11-23T14:08:01Z-
dc.date.issued2023-
dc.identifier.issn2075-1680-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/5218-
dc.description.abstractOmega rings ((Formula presented.) -rings) (and other related structures) are lattice-valued structures (with (Formula presented.) being the codomain lattice) defined on crisp algebras of the same type, with lattice-valued equality replacing the classical one. In this paper, (Formula presented.) -ideals are introduced, and natural connections with (Formula presented.) -congruences and homomorphisms are established. As an application, a framework of approximate solutions of systems of linear equations over (Formula presented.) -fields is developed.en_US
dc.publisherMDPIen_US
dc.relation.ispartofAxiomsen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectcomplete lattice | fuzzy algebra | fuzzy congruence | fuzzy equality | ideals in rings | omega fields | omega ring | systems of linear equationsen_US
dc.titleOmega Ideals in Omega Rings and Systems of Linear Equations over Omega Fieldsen_US
dc.typeArticleen_US
dc.identifier.doi10.3390/axioms12080757-
dc.identifier.scopus2-s2.0-85169140164-
dc.contributor.affiliationComputer Scienceen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.firstpage757-
dc.relation.issue8-
dc.relation.volume12-
dc.description.rank~M21-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-5716-604X-
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