Higher derivations on rings and modules
Let τ be a hereditary torsion theory on ModR and suppose that Qτ:ModR→ModR 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 Qτ(M) if and only if τ is a higher differential torsion theory...
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2005-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2373 |