D-Extending Modules

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:3
D-Extending Modules

D-Extending Modules

Pages : 914-920

View : 26 | Download : 12

Publication Date : 2020-06-02

Article Type : Research Paper

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 insert ignore into journalissuearticles values(respectively, closed, pure);. The structure of a ring over which d-closed submodules of every module are direct summand insert ignore into journalissuearticles values(respectively, closed, pure); is studied.
Keywords : D extending modules, d closed submodules, semiartinian modules

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.