Uniserial modules of generalized power series

Let $R$ be a ring‎, ‎$M$ a‎ ‎right $R$-module and $(S,\leq)$ a strictly ordered monoid‎. ‎In this‎ ‎paper we will show that if $(S,\leq)$ is a strictly ordered monoid‎ ‎satisfying the condition that $0\leq s$ for all $s\in S$‎, ‎then the‎ ‎module $[[M^{S,\leq}]]$ of generalized power series is a uniserial‎ ‎right $[[R^{S,\leq}]]$-module if and only if $M$ is a simple right‎ ‎$R$-module and $S$ is a chain monoid‎.