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We discuss the example of the Hopf category whose underlying class is the set of twists of a Lie bialgebra. Finally, we apply the result to the setting of deformed categories.\n                  <\/jats:p>","DOI":"10.1007\/s10485-025-09843-x","type":"journal-article","created":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T09:31:10Z","timestamp":1767432670000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Hopf Categories Associated to Comonoidal Functors"],"prefix":"10.1007","volume":"34","author":[{"given":"Andrea","family":"Rivezzi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,1,3]]},"reference":[{"issue":"5","key":"9843_CR1","doi-asserted-by":"publisher","first-page":"2450029","DOI":"10.1142\/S0219199724500299","volume":"27","author":"A Ardizzoni","year":"2025","unstructured":"Ardizzoni, A., Bottegoni, L., Sciandra, A., Weber, T.: Infinitesimal braidings and pre-Cartier bialgebras. Commun. Contemp. 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