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   <ow:Publication rdf:about="oai:digibug.ugr.es:10481/106672">
      <dc:title>On factorization of monoids in Cartesian categories</dc:title>
      <dc:creator>Mesablishvili, Tamar</dc:creator>
      <dc:subject>Cartesian category</dc:subject>
      <dc:subject>Monoid</dc:subject>
      <dc:subject>Descent cohomology</dc:subject>
      <dc:description>The problem of factorization of groups and monoids in a Cartesian monoidal category C is investigated. Two&#xd;
necessary and sufficient conditions are given in terms of so-called descent 1-cocycles for a C -monoid to be&#xd;
factorized via two C -submonoids. In addition, a criterion is obtained for a C -monoid to be a C -group, from which&#xd;
the characterization of cocommutative C -bimonoids that are Hopf C -monoids is derived</dc:description>
      <dc:date>2025-09-26T11:33:34Z</dc:date>
      <dc:date>2025-09-26T11:33:34Z</dc:date>
      <dc:date>2025-08-08</dc:date>
      <dc:type>journal article</dc:type>
      <dc:identifier>Mesablishvili, T. (2025). On factorization of monoids in Cartesian categories. Journal of Mathematical Sciences. https://doi.org/10.1007/s10958-025-07738-9</dc:identifier>
      <dc:identifier>https://hdl.handle.net/10481/106672</dc:identifier>
      <dc:identifier>10.1007/s10958-025-07738-9</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:rights>http://creativecommons.org/licenses/by/4.0/</dc:rights>
      <dc:rights>open access</dc:rights>
      <dc:rights>Atribución 4.0 Internacional</dc:rights>
      <dc:publisher>Springer</dc:publisher>
   </ow:Publication>
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