On factorization of monoids in Cartesian categories

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URI: https://hdl.handle.net/10481/106672
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Autor
Mesablishvili, Tamar
Editorial
Springer
Materia
Cartesian category
 
Monoid
 
Descent cohomology
 
Fecha
2025-08-08
Referencia bibliográfica
Mesablishvili, T. (2025). On factorization of monoids in Cartesian categories. Journal of Mathematical Sciences. https://doi.org/10.1007/s10958-025-07738-9
Patrocinador
La Caixa Foundation (ID 100010434; LCF/BQ/DI22/11940037); MCIN/AEI/10.13039/501100011033 (PID2023-149565NB-I00)
Resumen
The 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 derived
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Atribución 4.0 Internacional
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