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A completely new view to soft intersection rings via soft uni-int product

dc.contributor.authorSezgin, Aslihan
dc.contributor.authorCagman, Naim
dc.contributor.authorAtagun, Akin Osman
dc.date.accessioned2019-09-01T13:04:42Z
dc.date.available2019-09-01T13:04:42Z
dc.date.issued2017
dc.identifier.issn1568-4946
dc.identifier.issn1872-9681
dc.identifier.urihttps://dx.doi.org/10.1016/j.asoc.2016.10.004
dc.identifier.urihttps://hdl.handle.net/20.500.12450/1057
dc.descriptionWOS: 000395901200025en_US
dc.description.abstractIn this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, we define soft union-intersection product and obtain the relationship between this new concept and soft intersection ring and its different ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft intersection rings and ideals. (C) 2016 Elsevier B.V. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherELSEVIER SCIENCE BVen_US
dc.relation.isversionof10.1016/j.asoc.2016.10.004en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSoft seten_US
dc.subjectSoft union-intersection producten_US
dc.subjectSoft intersection left (right two-sided) idealen_US
dc.subjectSoft intersection (generalized) bi-idealen_US
dc.subjectSoft intersection interior idealen_US
dc.subjectSoft intersection quasi idealen_US
dc.subjectRegular ringsen_US
dc.titleA completely new view to soft intersection rings via soft uni-int producten_US
dc.typearticleen_US
dc.relation.journalAPPLIED SOFT COMPUTINGen_US
dc.authoridAtagun, Akin Osman -- 0000-0002-2131-9980en_US
dc.identifier.volume54en_US
dc.identifier.startpage366en_US
dc.identifier.endpage392en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.department-temp[Sezgin, Aslihan] Amasya Univ, Dept Elementary Educ, TR-05100 Amasya, Turkey -- [Cagman, Naim] Gaziosmanpasa Univ, Dept Math, TR-60250 Tokat, Turkey -- [Atagun, Akin Osman] Bozok Univ, Dept Math, TR-66100 Yozgat, Turkeyen_US


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