A variation of supplemented modules
Authors : Gökhan Bilhan, Ayşe Tugba Güroğlu
Pages : 418-426
Doi:10.3906/mat-1108-20
View : 7 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Over a general ring, an R-module is w-supplemented if and only if amply w-supplemented. It is proved that over a local Dedekind domain, all modules are w-supplemented and over a non-local Dedekind domain, an R-module M is w-supplemented if and only if Soc(M)\ll M or M=S0 \oplus (\bigoplusi \in I K), where S0 is a torsion, semisimple submodule of M and K is the field of quotients of R.Keywords : Modules, w-supplemented, Dedekind domain