2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57246Katriel, Rasetti and Solomon introduced a $q$-analogue of the Zassenhaus formula written as $e_q^{(A+B)}$ $=$ $e_q^Ae_q^Be_q^{c_2}e_q^{c_3}e_q^{c_4}e_q^{c_5}...$, where $A$ and $B$ are two generally noncommuting operators and $e_q^z$ is the Jackson $q$-exponential, and derived the expressions for $c_2$, $c_3$ and $c_4$. It is shown that one can also write $e_q^{(A+B)}$ $=$ $e_q^Ae_q^Be_{q^2}^{\C_2}e_{q^3}^{\C_3}e_{q^4}^{\C_4}e_{q^5}^{\C_5}...$. Explicit expressions for $\C_2$, $\C_3$ and $\C_4$ are given.12 Pages. New references have been added. Title and Abstract have been modified in view of an earlier work of Katriel, Rasetti and Solomon on a different form of the q-Zassenhaus formula. The text is modified only slightly since the result of the paper is unchangedMathematical PhysicsQuantum Algebra20G42,20G99text