D-Extending Modules
Authors : Yilmaz Durğun
Pages : 914-920
Doi:10.15672/hujms.460241
View : 15 | Download : 10
Publication Date : 2020-06-02
Article Type : Research
Abstract :A submodule $N$ of a module $M$ is called d-closed if $M/N$ has a zero socle. D-closed submodules are similar concept to s-closed submodules, which are defined through nonsingular modules by Goodearl. In this article we deal with modules with the property that all d-closed submodules are direct summands (respectively, closed, pure). The structure of a ring over which d-closed submodules of every module are direct summand (respectively, closed, pure) is studied.Keywords : D-extending modules, d-closed submodules, semiartinian modules