Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

f -derivations on rings and modules

Paul E. Bland — 2006

Commentationes Mathematicae Universitatis Carolinae

If τ is a hereditary torsion theory on 𝐌𝐨𝐝 R and Q τ : 𝐌𝐨𝐝 R 𝐌𝐨𝐝 R is the localization functor, then we show that every f -derivation d : M N has a unique extension to an f τ -derivation d τ : Q τ ( M ) Q τ ( N ) when τ is a differential torsion theory on 𝐌𝐨𝐝 R . Dually, it is shown that if τ is cohereditary and C τ : 𝐌𝐨𝐝 R 𝐌𝐨𝐝 R is the colocalization functor, then every f -derivation d : M N can be lifted uniquely to an f τ -derivation d τ : C τ ( M ) C τ ( N ) .

Page 1

Download Results (CSV)