{"id":462,"date":"2025-07-17T14:34:31","date_gmt":"2025-07-17T13:34:31","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=462"},"modified":"2025-07-18T09:35:01","modified_gmt":"2025-07-18T08:35:01","slug":"es-la-suma-definible-a-partir-de-la-multiplicacio-i-el-successor","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/es-la-suma-definible-a-partir-de-la-multiplicacio-i-el-successor\/","title":{"rendered":"\u00c9s la suma definible a partir de la multiplicaci\u00f3 i el successor?"},"content":{"rendered":"\n<p>Siguin \\(R\\) i \\(S\\) anells amb unitat no necess\u00e0riament commutatius. Diem que una aplicaci\u00f3 \\(f\\colon R\\to S\\) \u00e9s un braquimorfisme si \\(f(xy)=f(x)f(y)\\) i \\(f(x+1)=f(x)+1\\) per a tota parella \\(x,y\\in R\\). S&#8217;estudiar\u00e0 el problema de quan aquesta condici\u00f3 implica autom\u00e0ticament que \\(f\\) \u00e9s un morfisme d&#8217;anells (\u00e9s a dir, que a m\u00e9s \\(f(x+y)=f(x)+f(y)\\) ). Sorprenentment, la resposta afirmativa general \u00e9s oberta, per\u00f2 hi ha una bona colla de classes \u00e0mplies on \u00e9s coneguda.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Siguin \\(R\\) i \\(S\\) anells amb unitat no necess\u00e0riament commutatius. Diem que una aplicaci\u00f3 \\(f\\colon R\\to S\\) \u00e9s un braquimorfisme si \\(f(xy)=f(x)f(y)\\) i \\(f(x+1)=f(x)+1\\) per a tota parella \\(x,y\\in R\\). S&#8217;estudiar\u00e0 el problema de quan aquesta condici\u00f3 implica autom\u00e0ticament que \\(f\\) \u00e9s un morfisme d&#8217;anells (\u00e9s a dir, que a m\u00e9s \\(f(x+y)=f(x)+f(y)\\) ). Sorprenentment, la [&hellip;]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[46],"class_list":["post-462","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-francesc-perera"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/462","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=462"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/462\/revisions"}],"predecessor-version":[{"id":465,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/462\/revisions\/465"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}