Let $L$ be the ring of Lipschitz Integers and $a, b, c, d\in L$. Considere $L$ as a left $L$-module and let $(a), (b), (c), (d)$ be the left submodules generated by $a, b, c,$ and $d$, respectively. It is true that the factor modules

$$\frac{L}{(c)+(d)}\;\;and\;\;\frac{(a)+(b)}{(ca)+(db)},$$

are isomorphic?