Turkish Journal of Mathematics
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=S_0 \oplus (\bigoplus_{i \in I} K), where S_0 is a torsion, semisimple submodule of M and K is the field of quotients of R.
DOI
10.3906/mat-1108-20
Keywords
Modules, w-supplemented, Dedekind domain
First Page
418
Last Page
426
Recommended Citation
BİLHAN, G, & GÜROĞLU, A. T (2013). A variation of supplemented modules. Turkish Journal of Mathematics 37 (3): 418-426. https://doi.org/10.3906/mat-1108-20
