{"page":"191-221","publication_status":"published","date_updated":"2023-11-20T09:24:48Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"        46","scopus_import":"1","_id":"14557","doi":"10.2989/16073606.2023.2247731","acknowledgement":"The first and second named authors are members of GNSAGA – INdAM.\r\nThe third named author was supported by the FWF Grant, Project number I4245–N35","quality_controlled":"1","title":"Epimorphisms and closure operators of categories of semilattices","article_processing_charge":"No","date_published":"2023-11-01T00:00:00Z","type":"journal_article","volume":46,"issue":"S1","year":"2023","language":[{"iso":"eng"}],"author":[{"full_name":"Dikranjan, D.","last_name":"Dikranjan","first_name":"D."},{"first_name":"A.","full_name":"Giordano Bruno, A.","last_name":"Giordano Bruno"},{"last_name":"Zava","full_name":"Zava, Nicolò","first_name":"Nicolò","orcid":"0000-0001-8686-1888","id":"c8b3499c-7a77-11eb-b046-aa368cbbf2ad"}],"day":"01","article_type":"original","month":"11","project":[{"grant_number":"I04245","call_identifier":"FWF","name":"Algebraic Footprints of Geometric Features in Homology","_id":"26AD5D90-B435-11E9-9278-68D0E5697425"}],"department":[{"_id":"HeEd"}],"date_created":"2023-11-19T23:00:55Z","publisher":"Taylor & Francis","citation":{"ieee":"D. Dikranjan, A. Giordano Bruno, and N. Zava, “Epimorphisms and closure operators of categories of semilattices,” <i>Quaestiones Mathematicae</i>, vol. 46, no. S1. Taylor &#38; Francis, pp. 191–221, 2023.","mla":"Dikranjan, D., et al. “Epimorphisms and Closure Operators of Categories of Semilattices.” <i>Quaestiones Mathematicae</i>, vol. 46, no. S1, Taylor &#38; Francis, 2023, pp. 191–221, doi:<a href=\"https://doi.org/10.2989/16073606.2023.2247731\">10.2989/16073606.2023.2247731</a>.","ista":"Dikranjan D, Giordano Bruno A, Zava N. 2023. Epimorphisms and closure operators of categories of semilattices. Quaestiones Mathematicae. 46(S1), 191–221.","ama":"Dikranjan D, Giordano Bruno A, Zava N. Epimorphisms and closure operators of categories of semilattices. <i>Quaestiones Mathematicae</i>. 2023;46(S1):191-221. doi:<a href=\"https://doi.org/10.2989/16073606.2023.2247731\">10.2989/16073606.2023.2247731</a>","apa":"Dikranjan, D., Giordano Bruno, A., &#38; Zava, N. (2023). Epimorphisms and closure operators of categories of semilattices. <i>Quaestiones Mathematicae</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.2989/16073606.2023.2247731\">https://doi.org/10.2989/16073606.2023.2247731</a>","short":"D. Dikranjan, A. Giordano Bruno, N. Zava, Quaestiones Mathematicae 46 (2023) 191–221.","chicago":"Dikranjan, D., A. Giordano Bruno, and Nicolò Zava. “Epimorphisms and Closure Operators of Categories of Semilattices.” <i>Quaestiones Mathematicae</i>. Taylor &#38; Francis, 2023. <a href=\"https://doi.org/10.2989/16073606.2023.2247731\">https://doi.org/10.2989/16073606.2023.2247731</a>."},"abstract":[{"text":"Motivated by a problem posed in [10], we investigate the closure operators of the category SLatt of join semilattices and its subcategory SLattO of join semilattices with bottom element. In particular, we show that there are only finitely many closure operators of both categories, and provide a complete classification. We use this result to deduce the known fact that epimorphisms of SLatt and SLattO are surjective. We complement the paper with two different proofs of this result using either generators or Isbell’s zigzag theorem.","lang":"eng"}],"oa_version":"None","publication":"Quaestiones Mathematicae","publication_identifier":{"eissn":["1727-933X"],"issn":["1607-3606"]}}