Differentiability of torsion theories

dc.creatorVas, Lia
dc.date2007-02-18
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:20Z
dc.date.available2026-07-07T08:39:20Z
dc.descriptionWe prove that every perfect torsion theory for a ring $R$ is differential (in the sense of [P. E. Bland, Differential torsion theory, Journal of Pure and Applied Algebra 204 (2006) 1 -- 8]). In this case, we construct the extension of a derivation of a right $R$-module $M$ to a derivation of the module of quotients of $M$. Then, we prove that the Lambek and Goldie torsion theories for any $R$ are differential.
dc.identifierhttps://arxiv.org/abs/math/0702530
dc.identifierhttp://arxiv.org/abs/math/0702530
dc.identifierJournal of Pure and Applied Algebra 210 (2007) no. 3, 847 - 853
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141036
dc.subjectRings and Algebras
dc.subject16S90, 16W25
dc.titleDifferentiability of torsion theories
dc.typetext

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