Title of article
A variation of supplemented modules
Author/Authors
BILHAN, Gokhan Dokuz Eylul University - Faculty of Arts and Sciences - Department of Mathematics, Turkey , GUROGLU, Ayse Tugba Celal Bayar University Muradiye - Faculty of Arts and Sciences - Department of Mathematics, Turkey
From page
418
To page
426
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.
Keywords
Modules , w , supplemented , Dedekind domain
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2531365
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