Supplemented modules over Dedekind domains
Supplemented modules over Dedekind domains
The jβ-module M is said to be supplemented if every submodule of M has a minimal supplement.For R a Dedekind domain, we relate this lattice theoretical condition to direct decompositions of M 9 the smallness of the radical J(M) of M 9 the semi-simplicity and lifting of decompositions of M/J(M), …