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On Rings of MAL'CEV-NEUMANN Series
- Publication Year :
- 2024
-
Abstract
- 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.
- Subjects :
- Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.18473
- Document Type :
- Working Paper