 The generalized matrices of the form \(\langle \bA, \tFi_{\bL }\bA \rangle\) are called the basic full g-models of \(\bL\) (the letter ‘g’ stands for generalized matrix). The interest in these models lead to the consideration of the class of generalized matrix models of a logic \(\bL\) with the property that their quotient by their Tarski congruence is a basic full g-model. These generalized matrices (and their corresponding abstract logics) are called full g-models. The theory of the full g-models of an arbitrary logic is developed in Font &amp; Jansana 1996, where the notions of full g-model and basic full g-model are introduced. We will mention some of the main results obtained there.