Higher derivations on rings and modules

Paul E. Bland

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-15

Abstract:

Let τ be a hereditary torsion theory on Mod R and suppose that Q τ :Mod R → Mod R is the localization functor. It is shown that for all R -modules M , every higher derivation defined on M can be extended uniquely to a higher derivation defined on Q τ ( M ) if and only if τ is a higher differential torsion theory. It is also shown that if τ is a TTF theory and C τ : M → M is the colocalization functor, then a higher derivation defined on M can be lifted uniquely to a higher derivation defined on C τ ( M ) .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:263497

DOI: 10.1155/IJMMS.2005.2373

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