Article ID Journal Published Year Pages File Type
4598332 Journal of Pure and Applied Algebra 2006 8 Pages PDF
Abstract

Differential torsion theories are introduced and it is shown that for a hereditary torsion theory ττ every derivation on an R-module M   has a unique extension to its module of quotients if and only if ττ is a differential torsion theory. Dually, we show that when ττ is cohereditary, every derivation on M can be lifed uniquely to its module of coquotients.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
,