  In this paper, we investigate the conditions for the Mal'cev-Neumann series
ring {\Lambda} = R((G;{\sigma};{\tau})) to be left fusible and an SA-ring.
Also, we show that: if G is a quasitotally ordered group and U a
{\Sigma}-compatible semiprime ideal of R, then R((G;{\sigma};{\tau})) is a
{\Sigma}(U((G; {\sigma}; {\tau})))-zip ring if and only if R is a {\Sigma}(U
)-zip ring.
