Lineability and algebrability within $p-$adic function spaces

In this paper, we continue the ongoing research on lineability and algebrability within the context of $p$--adic analysis. This work serves a twofold purpose. Firstly, we improve and, at times, generalize some already known results within this fields and, secondly, we present some new results which have no counterpart in the classical Archimedean framework.