{"id":211,"date":"2011-10-11T15:22:20","date_gmt":"2011-10-11T13:22:20","guid":{"rendered":"http:\/\/logica.dmi.unisa.it\/lucaspada\/?p=211"},"modified":"2017-10-05T09:50:32","modified_gmt":"2017-10-05T08:50:32","slug":"a-discrete-representation-of-free-mv-algebras","status":"publish","type":"post","link":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/211-a-discrete-representation-of-free-mv-algebras\/","title":{"rendered":"A discrete representation of free MV-algebras"},"content":{"rendered":"<p>We prove that the $n$-generated free MV-algebra is isomorphic to a quotient of the disjoint union of all the $n$-generated free MV$^{(n)}$-algebras. Such a quotient can be seen as the direct limit of a system consisting of all free MV${}^{(n)}$-algebras and special maps between them as morphisms.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Final-version.pdf\">A discrete representation of free MV-algebras<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We prove that the $n$-generated free MV-algebra is isomorphic to a quotient of the disjoint union of all the $n$-generated free MV$^{(n)}$-algebras. Such a quotient can be seen as the direct limit of a system consisting of all free MV${}^{(n)}$-algebras and special maps between them as morphisms. A discrete representation of free MV-algebras<\/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":[19,64,28,63,29],"class_list":["post-211","post","type-post","status-publish","format-standard","hentry","category-preprint","tag-directed-colimit","tag-free-algebra","tag-lukasiewicz-logic","tag-mcnaughton-functions","tag-mv-algebras"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/211","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=211"}],"version-history":[{"count":3,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/211\/revisions"}],"predecessor-version":[{"id":1160,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/211\/revisions\/1160"}],"wp:attachment":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/media?parent=211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/categories?post=211"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/tags?post=211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}