The locally nilradical for modules over commutative rings
| dc.contributor.author | Kyomuhangi, Annet | |
| dc.contributor.author | Ssevviiri, David | |
| dc.date.accessioned | 2021-02-24T16:48:08Z | |
| dc.date.available | 2021-02-24T16:48:08Z | |
| dc.date.issued | 2020-03-05 | |
| dc.description.abstract | Let R be a commutative unital ring and a ∈ R. We introduce and study properties of a functor aΓa(−), called the locally nilradical on the category of R-modules. aΓa(−) is a generalisation of both the torsion functor (also called section functor) and Baer’s lower nilradical for modules. Several local-global properties of the functor aΓa(−) are established. As an application, results about reduced R-modules are obtained and hitherto unknown ring theoretic radicals as well as structural theorems are deduced. | en_US |
| dc.description.sponsorship | Sida bilateral programme, Project 316: Capacity building in Mathematics and Busitema University | en_US |
| dc.identifier.uri | https://doi.org/10.60682/3dma-gn71 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | ;16S90, 16N80, 13D45 | |
| dc.subject | Locally nilradical | en_US |
| dc.subject | Baer’s lower nilradical | en_US |
| dc.subject | torsion functor | en_US |
| dc.subject | reduced modules | en_US |
| dc.subject | reduced rings | en_US |
| dc.subject | local cohomology | en_US |
| dc.title | The locally nilradical for modules over commutative rings | en_US |
| dc.type | Article | en_US |