JSF - commandbutton in newly AJAX rendered form doesn't fire - ajax

Question

In my JSF 2.2 application on Glassfish 4.0, i need to allow update of single fields within a page.
For each field, i created a h:form containing two ui:fragments.
Each of there fragments is rendered based on the value of a boolean edit attribute named enteEdit in my backing bean FascicoloDettaglio.
FascicoloDettaglio is #ViewScoped.
The first fragment contains an h:outputText with the value from my bean, and a h:commandLink used to update the edit attribute and fire an AJAX request to re-render the form, which causes the first fragment to disappear and the second fragment to appear.
The second fragment contains the h:inputText used to edit the field, and the submit h:commandButton, which resets the edit attribute and then AJAX-calls the action method.
However, the second button never works; the action is not called and the button simply does nothing; while it should call the action and then re-render the entire form, turning the second fragment off and the first on.
I can't understand why it doesn't work.
This is the JSF code fragment:
<h:form>
<ui:fragment rendered="#{not fascicoloDettaglio.enteEdit}">
<h:outputText value="#{fascicoloDettaglio.fascicolo.ente}" />
<h:commandLink rendered="#{request.isUserInRole('affgen')}">
<h:graphicImage name="img/modify.png" width="24" height="24" title="Modifica" />
<f:ajax render="#form" />
<f:setPropertyActionListener target="#{fascicoloDettaglio.enteEdit}" value="true" />
<f:setPropertyActionListener target="#{fascicoloDettaglio.ente}" value="#{fascicoloDettaglio.fascicolo.ente}" />
</h:commandLink>
</ui:fragment>
<ui:fragment rendered="#{fascicoloDettaglio.enteEdit}">
<h:inputText value="#{fascicoloDettaglio.ente}" requiredMessage="Introdurre l'ente ricorrente." required="true" styleClass="largetext #{component.valid ? '' : 'inputvalidationerror'}">
<f:validateLength maximum="255" />
</h:inputText>
<h:commandButton action="#{fascicoloDettaglio.salvaEnte}" value="Salva">
<f:setPropertyActionListener target="#{fascicoloDettaglio.enteEdit}" value="false" />
<f:ajax execute="#form" render="#form" />
</h:commandButton>
<h:messages />
</ui:fragment>
</h:form>
Any help would be very appreciated.