The next step of the word problem over monoids

dc.contributor.authorKarpuz, Eylem Güzel
dc.contributor.authorAteş, Fırat
dc.contributor.authorÇevik, Ahmet Sinan
dc.contributor.authorMaden, Ayşe Dilek Güngör
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/MatematikBölümü.tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.researcheridABA-6206-2020tr_TR
dc.contributor.researcheridJ-3505-2017tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.date.accessioned2022-03-30T06:17:59Z
dc.date.available2022-03-30T06:17:59Z
dc.date.issued2011-10
dc.description.abstractIt is known that a group presentation P can be regarded as a 2-complex with a single 0-cell. Thus we can consider a 3-complex with a single 0-cell which is known as a 3-presentation. Similarly, we can also consider 3-presentations for monoids. In this paper, by using spherical monoid pictures, we show that there exists a finite 3-monoid-presentation which has unsolvable "generalized identity problem'' that can be thought as the next step (or one-dimension higher) of the word problem for monoids. We note that the method used in this paper has chemical and physical applications.en_US
dc.description.sponsorshipSelçuk Üniversitesitr_TR
dc.identifier.citationKarpuz, E. G. vd. (2011). "The next step of the word problem over monoids". Applied Mathematics and Computation, 218(3), 794-798.en_US
dc.identifier.endpage798tr_TR
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue3tr_TR
dc.identifier.scopus2-s2.0-80052269740tr_TR
dc.identifier.startpage794tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.amc.2011.03.076
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300311004449
dc.identifier.urihttp://hdl.handle.net/11452/25419
dc.identifier.volume218tr_TR
dc.identifier.wos000294298400030tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherElsevier Scienceen_US
dc.relation.bap2006/40tr_TR
dc.relation.bap2008/31tr_TR
dc.relation.bap2008/54tr_TR
dc.relation.collaborationYurt içitr_TR
dc.relation.journalApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subjectMonoid picturesen_US
dc.subjectWord problemen_US
dc.subjectPresentationen_US
dc.subjectIdentity problemen_US
dc.subjectHomological finiteness conditionen_US
dc.subjectGroup presentationen_US
dc.subjectIdentity problemen_US
dc.subjectMonoid picturesen_US
dc.subjectMonoidsen_US
dc.subjectOne-dimensionen_US
dc.subjectPhysical applicationen_US
dc.subjectPresentationen_US
dc.subjectWord problemen_US
dc.subjectAlgebraen_US
dc.subject.scopusMonoids; Inverse Semigroup; Word Problemen_US
dc.subject.wosMathematics, applieden_US
dc.titleThe next step of the word problem over monoidsen_US
dc.typeArticle
dc.wos.quartileQ1en_US

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