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On factorization of monoids in Cartesian categories

dc.contributor.authorMesablishvili, Tamar
dc.date.accessioned2025-09-26T11:33:34Z
dc.date.available2025-09-26T11:33:34Z
dc.date.issued2025-08-08
dc.identifier.citationMesablishvili, T. (2025). On factorization of monoids in Cartesian categories. Journal of Mathematical Sciences. https://doi.org/10.1007/s10958-025-07738-9es_ES
dc.identifier.urihttps://hdl.handle.net/10481/106672
dc.description.abstractThe problem of factorization of groups and monoids in a Cartesian monoidal category C is investigated. Two necessary and sufficient conditions are given in terms of so-called descent 1-cocycles for a C -monoid to be factorized via two C -submonoids. In addition, a criterion is obtained for a C -monoid to be a C -group, from which the characterization of cocommutative C -bimonoids that are Hopf C -monoids is derivedes_ES
dc.description.sponsorshipLa Caixa Foundation (ID 100010434; LCF/BQ/DI22/11940037)es_ES
dc.description.sponsorshipMCIN/AEI/10.13039/501100011033 (PID2023-149565NB-I00)es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectCartesian categoryes_ES
dc.subjectMonoides_ES
dc.subjectDescent cohomologyes_ES
dc.titleOn factorization of monoids in Cartesian categorieses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s10958-025-07738-9
dc.type.hasVersionVoRes_ES


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