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1. On Rings of MAL'CEV-NEUMANN Series

Author

Fahmy, Mohammad. H., Salem, Refaat. M., and Shehata, Shaimaa. Sh.

Subjects
Mathematics - Rings and Algebras
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.

Published
2024

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