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A note on the gröbner-shirshov bases over ad-hoc extensions of groups

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dc.contributor.authorKarpuz, Eylem G.
dc.contributor.authorAteş, Fırat
dc.contributor.authorUrlu, Nurten
dc.contributor.authorÇevik, A. Sinan
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.researcheridJ-3505-2017
dc.contributor.researcheridABA-6206-2020
dc.contributor.scopusid57189022403
dc.date.accessioned2023-06-08T10:38:40Z
dc.date.available2023-06-08T10:38:40Z
dc.date.issued2015-10-16
dc.description.abstractThe main goal of this paper is to obtain (non-commutative) Grobner-Shirshov bases for monoid presentations of the knit product of cyclic groups and the iterated semidirect product of free groups. Each of the results here will give a new algorithm for getting normal forms of the elements of these groups, and hence a new algorithm for solving the word problem over them.
dc.identifier.citationKarpuz, E. G. vd. (2016). "A note on the gröbner-shirshov bases over ad-hoc extensions of groups". Filomat, 30(4), 1037-1043.
dc.identifier.endpage1043
dc.identifier.issn0354-5180
dc.identifier.issue4
dc.identifier.scopus2-s2.0-84966297381
dc.identifier.startpage1037
dc.identifier.urihttps://doi.org/10.2298/FIL1604037K
dc.identifier.urihttps://www.jstor.org/stable/24898674
dc.identifier.urihttp://hdl.handle.net/11452/32979
dc.identifier.volume30
dc.identifier.wos000378403800018
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherUniv Nis
dc.relation.collaborationYurt içi
dc.relation.journalFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics
dc.subjectGrobner-shirshov basis
dc.subjectPresentation
dc.subjectKnit product
dc.subjectIterated semidirect product
dc.subjectBraid group
dc.subjectGenerators
dc.subjectProducts
dc.subject.scopusFree Associative Algebras; Mathematics; Irreducible Module
dc.subject.wosMathematics, applied
dc.subject.wosMathematics
dc.titleA note on the gröbner-shirshov bases over ad-hoc extensions of groups
dc.typeArticle
dc.wos.quartileQ2 (Mathematics)
dc.wos.quartileQ3 (Mathematics, applied)
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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