Turkish Journal of Mathematics
Abstract
This article introduces the concept of a \tau-supplemented module as follows: Given a hereditary torsion theory in Mod R with associated torsion functor \tau, we say that a module M is \tau-supplemented when for every submodule N of M there exists a direct summand K of M such that K\leq N and N/K is \tau-torsion module. We present here some fundamental properties of this class of modules and study the decompositions of \tau-supplemented modules under certain conditions on modules. The question of which direct sum of \tau-supplemented R-modules are \tau-supplemented is treated here.
DOI
-
Keywords
Torsion Theory, Supplemented Module
First Page
177
Last Page
184
Recommended Citation
KOŞAN, M. T, & HARMANCI, A (2004). Modules Supplemented Relative to A Torsion Theory. Turkish Journal of Mathematics 28 (2): 177-184. https://doi.org/-
