On Filters of Bitonic Algebras

dc.contributor.author Sule Ayar Ozbal
dc.contributor.author Ozbal, Sule Ayar
dc.contributor.author Ayar Özbal, Şule
dc.date AUG
dc.date.accessioned 2025-10-06T16:20:02Z
dc.date.issued 2022
dc.description.abstract With the deep study in this work we introduce the concept of filters of a bitonic algebra A. We study some fundamental structures of such determined filters. We also focus on features of filters with respect to homomorphisms. With the help of the idea of upper sets we investigate basic ideas of filters in a bitonic algebra and we also state some important theorems related to them. We obtain some relations between filters of bitonic algebras and upper sets. We obtain an equivalent condition of the filters with the help of the notion of upper sets.
dc.identifier.doi 10.3390/sym14081509
dc.identifier.issn 2073-8994
dc.identifier.scopus 2-s2.0-85137351802
dc.identifier.uri http://dx.doi.org/10.3390/sym14081509
dc.identifier.uri https://gcris.yasar.edu.tr/handle/123456789/6136
dc.identifier.uri https://doi.org/10.3390/sym14081509
dc.language.iso English
dc.publisher MDPI
dc.relation.ispartof Symmetry
dc.rights info:eu-repo/semantics/openAccess
dc.source SYMMETRY-BASEL
dc.subject bitonic algebras, commutative bitonic algebras, filters, upper set
dc.subject Commutative Bitonic Algebras
dc.subject Upper Set
dc.subject Bitonic Algebras
dc.subject Filters
dc.title On Filters of Bitonic Algebras
dc.type Article
dspace.entity.type Publication
gdc.author.id Ayar ÖZBAL, Şule/0000-0001-5933-5858
gdc.author.institutional Ayar Özbal, Şule (36598940800)
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gdc.description.department
gdc.description.departmenttemp [Ozbal, Sule Ayar] Yasar Univ, Fac Sci & Letter, Dept Math, TR-35100 Izmir, Turkey
gdc.description.issue 8
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
gdc.description.startpage 1509
gdc.description.volume 14
gdc.description.woscitationindex Science Citation Index Expanded
gdc.identifier.openalex W4287219542
gdc.identifier.wos WOS:000846666200001
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gdc.oaire.impulse 0.0
gdc.oaire.influence 2.3811355E-9
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gdc.oaire.keywords bitonic algebras; commutative bitonic algebras; filters; upper set
gdc.oaire.popularity 1.6828513E-9
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gdc.oaire.sciencefields 0202 electrical engineering, electronic engineering, information engineering
gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.virtual.author Ayar Özbal, Şule
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person.identifier.orcid Ayar OZBAL- Sule/0000-0001-5933-5858
publicationissue.issueNumber 8
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