{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:36:33Z","timestamp":1753889793510,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","issue":"Coalgebraic methods","license":[{"start":{"date-parts":[[2017,5,8]],"date-time":"2017-05-08T00:00:00Z","timestamp":1494201600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2017,5,8]],"date-time":"2017-05-08T00:00:00Z","timestamp":1494201600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2017,5,8]],"date-time":"2017-05-08T00:00:00Z","timestamp":1494201600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,3,31]]},"abstract":"<jats:p>We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor. These investigations are based on the concept of the abelian core of a semi-additive variety variety and its monoidal structure in case the variety is entropic.<\/jats:p><jats:p>Comment: 13 pages<\/jats:p>","DOI":"10.23638\/lmcs-13(2:3)2017","type":"journal-article","created":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T17:28:18Z","timestamp":1743701298000},"source":"Crossref","is-referenced-by-count":0,"title":["Hopf and Lie algebras in semi-additive Varieties"],"prefix":"10.23638","volume":"Volume 13, Issue 2","author":[{"given":"Hans-E.","family":"Porst","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2017,5,8]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/1610.08241v5","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/1610.08241v5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T17:28:18Z","timestamp":1743701298000},"score":1,"resource":{"primary":{"URL":"http:\/\/lmcs.episciences.org\/2181"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,8]]},"references-count":0,"journal-issue":{"issue":"Coalgebraic methods","published-online":{"date-parts":[[2017,5,8]]}},"URL":"https:\/\/doi.org\/10.23638\/lmcs-13(2:3)2017","relation":{"has-preprint":[{"id-type":"arxiv","id":"1610.08241v4","asserted-by":"subject"},{"id-type":"arxiv","id":"1610.08241v3","asserted-by":"subject"},{"id-type":"arxiv","id":"1610.08241v2","asserted-by":"subject"},{"id-type":"arxiv","id":"1610.08241v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"1610.08241","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1610.08241","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2017,5,8]]},"article-number":"2181"}}