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dc.contributor.authorGhilezan, Silviaen
dc.contributor.authorPantović, Jovankaen
dc.contributor.authorVojvodić, Gradimiren
dc.date.accessioned2020-05-02T16:42:20Z-
dc.date.available2020-05-02T16:42:20Z-
dc.date.issued2014-01-01en
dc.identifier.issn0350-1302en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2591-
dc.description.abstractContrary to the notion of a set or a tuple, a multiset is an unordered collection of elements which do not need to be different. As multisets are already widely used in combinatorics and computer science, the aim of this paper is to get on track to algebraic multiset theory. We consider generalizations of known results that hold for equivalence and order relations on sets and get several properties that are specific to multisets. Furthermore, we exemplify the novelty that brings this concept by showing that multisets are suitable to represent partial orders. Finally, after introducing the notion of an algebra on multisets, we prove that two algebras on multisets, whose root algebras are isomorphic, are in general not isomorphic.en
dc.publisherMathematical Institute of the SASA-
dc.relationRepresentations of logical structures and formal languages and their application in computing-
dc.relationDevelopment of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education-
dc.relation.ispartofPublications de l'Institut Mathematiqueen
dc.subjectBag | Multiseten
dc.titleBinary relations and algebras on multisetsen
dc.typeArticleen
dc.identifier.doi10.2298/PIM1409111Gen
dc.identifier.scopus2-s2.0-84897951544en
dc.relation.firstpage111en
dc.relation.lastpage117en
dc.relation.issue109en
dc.relation.volume95en
dc.description.rankM23-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0003-2253-8285-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174026e.php-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/044006e.php-
crisitem.project.fundingProgramDirectorate for Social, Behavioral & Economic Sciences-
crisitem.project.fundingProgramNATIONAL HEART, LUNG, AND BLOOD INSTITUTE-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Social, Behavioral & Economic Sciences/1740267-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL HEART, LUNG, AND BLOOD INSTITUTE/5R01HL044006-04-
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