On Rings of MAL'CEV-NEUMANN Series
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914774136127488 |
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| author | Fahmy, Mohammad. H. Salem, Refaat. M. Shehata, Shaimaa. Sh. |
| author_facet | Fahmy, Mohammad. H. Salem, Refaat. M. Shehata, Shaimaa. Sh. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Rings of MAL'CEV-NEUMANN Series Fahmy, Mohammad. H. Salem, Refaat. M. Shehata, Shaimaa. Sh. Rings and Algebras 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. |
| title | On Rings of MAL'CEV-NEUMANN Series |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2404.18473 |