A classical tool in the study of real closed fields are the fields \(K((G))\) of generalized power series (i.e., formal sums with well-ordered support) with coefficients in a field \(K\) of characteristic \(0\) and exponents in an ordered abelian group \(G\). We generalize previous results about irreducible elements and unique factorization in the subring \(K((G \leq 0))\).
