Higher derivations on rings and modules

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...

Full description

Bibliographic Details
Main Author: Paul E. Bland
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2373
id doaj-1ddddc41526d4a7b9795405c0dfa317c
record_format Article
spelling doaj-1ddddc41526d4a7b9795405c0dfa317c2020-11-24T21:56:39ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005152373238710.1155/IJMMS.2005.2373Higher derivations on rings and modulesPaul E. Bland0Department of Mathematics, Eastern Kentucky University, Richmond 40475, KY, USALet 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. It is also shown that if τ is a TTF theory and Cτ:M→M is the colocalization functor, then a higher derivation defined on M can be lifted uniquely to a higher derivation defined on Cτ(M).http://dx.doi.org/10.1155/IJMMS.2005.2373
collection DOAJ
language English
format Article
sources DOAJ
author Paul E. Bland
spellingShingle Paul E. Bland
Higher derivations on rings and modules
International Journal of Mathematics and Mathematical Sciences
author_facet Paul E. Bland
author_sort Paul E. Bland
title Higher derivations on rings and modules
title_short Higher derivations on rings and modules
title_full Higher derivations on rings and modules
title_fullStr Higher derivations on rings and modules
title_full_unstemmed Higher derivations on rings and modules
title_sort higher derivations on rings and modules
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description 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. It is also shown that if τ is a TTF theory and Cτ:M→M is the colocalization functor, then a higher derivation defined on M can be lifted uniquely to a higher derivation defined on Cτ(M).
url http://dx.doi.org/10.1155/IJMMS.2005.2373
work_keys_str_mv AT paulebland higherderivationsonringsandmodules
_version_ 1725858066507759616

Similar Items