On Rings of MAL'CEV-NEUMANN Series
Rings and Algebras
2024-04-30 v1
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.
Keywords
Cite
@article{arxiv.2404.18473,
title = {On Rings of MAL'CEV-NEUMANN Series},
author = {Mohammad. H. Fahmy and Refaat. M. Salem and Shaimaa. Sh. Shehata},
journal= {arXiv preprint arXiv:2404.18473},
year = {2024}
}