Turkish Journal of Mathematics
DOI
10.3906/mat-2101-103
Abstract
In this article, we study modules with the condition that every image of a submodule under a left exact preradical has a complement which is a direct summand. This new class of modules properly contains the class of $C_{11}$-modules (and hence also $CS$-modules). Amongst other structural properties, we deal with direct sums and decompositions with respect to the left exact preradicals of this new class of modules. It is obtained a decomposition such that the image of the module itself is a direct summand for the left exact radical, which enjoys the new condition.
Keywords
Left exact preradical, complement submodule, Goldie torsion submodule, $CS$-module, $C_{11}$-module
First Page
1757
Last Page
1766
Recommended Citation
YAŞAR, RAMAZAN
(2021)
"C_11 modules via left exact preradicals,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 21.
https://doi.org/10.3906/mat-2101-103
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/21
