{"id":18998,"date":"2025-10-10T08:24:25","date_gmt":"2025-10-10T06:24:25","guid":{"rendered":"https:\/\/informatica.uniurb.it\/triennale\/?post_type=seminari&#038;p=18998"},"modified":"2025-10-10T08:26:22","modified_gmt":"2025-10-10T06:26:22","slug":"equational-theories-of-idempotent-semifields","status":"publish","type":"seminari","link":"https:\/\/informatica.uniurb.it\/triennale\/seminari\/equational-theories-of-idempotent-semifields\/","title":{"rendered":"Equational theories of idempotent semifields"},"content":{"rendered":"<div><span style=\"font-size: small;\">An idempotent semifield is an idempotent semiring such that its multiplicative reduct is a group. In this talk I will present several results about equational theories of idempotent semifields. The results include that no non-trivial class of idempotent semifields has a finitely based equational theory and that the equational theory of the class of all idempotent semifields is co-NP-complete. The latter will also give us a complexity result for some problem about right-orders on free groups. This is joint work with George Metcalfe.\u00a0<\/span><\/div>\n","protected":false},"featured_media":0,"template":"","class_list":["post-18998","seminari","type-seminari","status-publish","hentry","entry","no-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/informatica.uniurb.it\/triennale\/wp-json\/wp\/v2\/seminari\/18998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/informatica.uniurb.it\/triennale\/wp-json\/wp\/v2\/seminari"}],"about":[{"href":"https:\/\/informatica.uniurb.it\/triennale\/wp-json\/wp\/v2\/types\/seminari"}],"wp:attachment":[{"href":"https:\/\/informatica.uniurb.it\/triennale\/wp-json\/wp\/v2\/media?parent=18998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}