On Rings of MAL'CEV-NEUMANN Series

Abstract

In this paper, we investigate the conditions for the Mal'cev-Neumann series ring = 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 -compatible semiprime ideal of R, then R((G;σ;τ)) is a (U((G; σ; τ)))-zip ring if and only if R is a (U )-zip ring.

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