Modules whose partial endomorphisms have a ?-small kernels
Author
Diop, Papa Cheikhou
Diallo , Abdoul Djibril
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/431510.22199/issn.0717-6279-2020-04-0059
Abstract
Let R be a commutative ring and M a unital R-module. A submodule N is said to be ?-small, if whenever N + L = M with M/L is singular, we have L = M. M is called ?-small monoform if any of its partial endomorphism has ?-small kernel. In this paper, we introduce the concept of ?-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.