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Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/185
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dc.contributor.authorMilošević, Nelaen_US
dc.contributor.authorPetrović, Zoranen_US
dc.date.accessioned2022-08-06T17:08:46Z-
dc.date.available2022-08-06T17:08:46Z-
dc.date.issued2015-12-01-
dc.identifier.issn00114642en
dc.identifier.urihttps://research.matf.bg.ac.rs/handle/123456789/185-
dc.description.abstractOrder complex is an important object associated to a partially ordered set. Following a suggestion from V. A. Vassiliev (1994), we investigate an order complex associated to the partially ordered set of nontrivial ideals in a commutative ring with identity. We determine the homotopy type of the geometric realization for the order complex associated to a general commutative ring with identity. We show that this complex is contractible except for semilocal rings with trivial Jacobson radical when it is homotopy equivalent to a sphere.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofCzechoslovak Mathematical Journalen_US
dc.subjectcommutative ringen_US
dc.subjecthomotopy typeen_US
dc.subjectidealen_US
dc.subjectorder complexen_US
dc.titleOrder complex of ideals in a commutative ring with identityen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s10587-015-0219-9-
dc.identifier.scopus2-s2.0-84973883588-
dc.identifier.isi000367853700007-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/84973883588-
dc.contributor.affiliationAlgebra and Mathematical Logicen_US
dc.relation.issn0011-4642en_US
dc.description.rankM23en_US
dc.relation.firstpage947en_US
dc.relation.lastpage952en_US
dc.relation.volume65en_US
dc.relation.issue4en_US
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
crisitem.author.deptAlgebra and Mathematical Logic-
crisitem.author.orcid0000-0002-8571-5210-
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