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arXiv · 2404.18473

On Rings of MAL'CEV-NEUMANN Series

Mohammad. H. Fahmy·Refaat. M. Salem·Shaimaa. Sh. Shehata
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Abstract

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.

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Mohammad. H. Fahmy, Refaat. M. Salem, Shaimaa. Sh. Shehata. 2024-04-29. On Rings of MAL'CEV-NEUMANN Series. https://arxiv.org/abs/2404.18473

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