@misc{10481/106672,
year = {2025},
month = {8},
url = {https://hdl.handle.net/10481/106672},
abstract = {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},
organization = {La Caixa Foundation (ID 100010434; LCF/BQ/DI22/11940037)},
organization = {MCIN/AEI/10.13039/501100011033 (PID2023-149565NB-I00)},
publisher = {Springer},
keywords = {Cartesian category},
keywords = {Monoid},
keywords = {Descent cohomology},
title = {On factorization of monoids in Cartesian categories},
doi = {10.1007/s10958-025-07738-9},
author = {Mesablishvili, Tamar},
}