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A fast algorithm for constructing Arf closure and a conjecture

dc.contributor.authorArslan, Feza
dc.contributor.authorSahin, Nil
dc.date.accessioned2025-01-09T20:14:32Z
dc.date.available2025-01-09T20:14:32Z
dc.date.issued2014
dc.identifier.issn0021-8693
dc.identifier.issn1090-266X
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2014.06.023
dc.identifier.urihttps://hdl.handle.net/20.500.14124/9121
dc.description.abstractIn this article, we give a fast and an easily implementable algorithm for computing the Arf closure of an irreducible algebroid curve (or a branch). Moreover, we study the relation between the branches having the same Arf closure and their regularity indices. We give some results and a conjecture, which are steps towards the interpretation of Arf closure as a specific way of taming the singularity. (C) 2014 Elsevier Inc. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofJournal of Algebraen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBranchen_US
dc.subjectArf ringen_US
dc.subjectArf closureen_US
dc.subjectArf semigroupen_US
dc.subjectHilbert functionen_US
dc.titleA fast algorithm for constructing Arf closure and a conjectureen_US
dc.typearticleen_US
dc.authoridSahin, Nil/0000-0001-6367-6225
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1016/j.jalgebra.2014.06.023
dc.identifier.volume417en_US
dc.identifier.startpage148en_US
dc.identifier.endpage160en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ3
dc.identifier.wosWOS:000340439600010
dc.identifier.scopus2-s2.0-84904565061
dc.identifier.scopusqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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