Crossed module aspects of monodromy groupoids for internal groupoids

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dc.authorid0000-0001-7411-2871en_US
dc.authorid0000-0002-6552-4695en_US
dc.contributor.authorMucuk, Osman
dc.contributor.authorDemir, Serap
dc.contributor.authorŞahan, Tunçar
dc.date.accessioned2024-07-12T20:49:33Z
dc.date.available2024-07-12T20:49:33Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe notion of monodromy groupoid was introduced by J. Pradines in [3] to generalize the standard construction of a simply connected Lie group from a Lie algebra to a construction of a Lie groupoid from a Lie algebroid and has been developed by many others. The categorical equivalence between internal groupoids and crossed modules in groups with operations is known by [2] as a generalization of an equivalence of crossed modules within groups and group-groupoids [1]. In this work using the former equivalence and techniques of crossed modules we give a construction of the monodromy groupoid for topological internal groupoids within groups with operations including groups, rings, associative algebras, associative commutative algebras, Lie algebras, Leibniz algebras, alternative algebras and some others.en_US
dc.identifier.citationMucuk, O., Demir, S. ve Şahan, T. (2019). Crossed module aspects of monodromy groupoids for internal groupoids. International Conference of Mathematical Sciences (ICMS 2019). s. 24.en_US
dc.identifier.endpage24en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage24en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2185
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01550
dc.subjectMonodromy groupoiden_US
dc.subjectInternal groupoiden_US
dc.subjectCrossed moduleen_US
dc.titleCrossed module aspects of monodromy groupoids for internal groupoidsen_US
dc.typeArticle
dspace.entity.typePublication

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