The locally nilradical for modules over commutative rings

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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.identifier.uri https://doi.org/10.60682/3dma-gn71
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.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


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