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On Rings of MAL'CEV-NEUMANN Series

Authors :
Fahmy, Mohammad. H.
Salem, Refaat. M.
Shehata, Shaimaa. Sh.
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

Subjects :
Mathematics - Rings and Algebras

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2404.18473
Document Type :
Working Paper