On Rings of MAL'CEV-NEUMANN Series

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