Differentiability of torsion theories

Details Differentiability of torsion theories Differentiability of torsion theories

2007-02-18

arxiv.org/abs/math/0702530v2

Journal of Pure and Applied Algebra 210 (2007) no. 3, 847 - 853

Mathematics

Rings and Algebras

Scientific paper

We 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.

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