{"id":1093,"date":"2017-08-28T08:58:59","date_gmt":"2017-08-28T07:58:59","guid":{"rendered":"http:\/\/logica.dmi.unisa.it\/lucaspada\/?p=1093"},"modified":"2017-08-28T08:58:59","modified_gmt":"2017-08-28T07:58:59","slug":"join-completions-of-ordered-algebras","status":"publish","type":"post","link":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/1093-join-completions-of-ordered-algebras\/","title":{"rendered":"Join-completions of ordered algebras"},"content":{"rendered":"<blockquote><p>In this paper, coauthored with Jos\u00e9 Gil-F\u00e9rez, Constantine Tsinakis, and\u00a0Hongjun Zhou,\u00a0we present a systematic study of join-extensions and join-completions of ordered algebras, which naturally leads to a refined and simplified treatment of fundamental results and constructions in the theory of ordered structures ranging from properties of the Dedekind-MacNeille completion to the proof of the finite embeddability property for a number of varieties of ordered algebras.<\/p><\/blockquote>\n<p style=\"text-align: center;\"><a href=\"https:\/\/arxiv.org\/abs\/1708.04990\">ArXiv preprint<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this paper, coauthored with Jos\u00e9 Gil-F\u00e9rez, Constantine Tsinakis, and\u00a0Hongjun Zhou,\u00a0we present a systematic study of join-extensions and join-completions of ordered algebras, which naturally leads to a refined and simplified treatment of fundamental results and constructions in the theory of ordered structures ranging from properties of the Dedekind-MacNeille completion to the proof of the finite [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[172,177,176,174,173,175,98],"class_list":["post-1093","post","type-post","status-publish","format-standard","hentry","category-preprint","tag-dedekind-macneille-completion","tag-fep","tag-finite-embeddability-property","tag-join-completions","tag-join-extensions","tag-ordered-algebras","tag-residuated-lattices"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/1093","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/comments?post=1093"}],"version-history":[{"count":1,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/1093\/revisions"}],"predecessor-version":[{"id":1094,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/1093\/revisions\/1094"}],"wp:attachment":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/media?parent=1093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/categories?post=1093"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/tags?post=1093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}