Strongly K-nonsingular Modules
A submodule N of a module M is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential kernels, named, strongly -nonsigular. We investi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad
2019-01-01
|
| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1919 |
| _version_ | 1817982511876145152 |
|---|---|
| author | Tha'ar Younis Ghawi |
| author_facet | Tha'ar Younis Ghawi |
| author_sort | Tha'ar Younis Ghawi |
| collection | DOAJ |
| description |
A submodule N of a module M is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential kernels, named, strongly -nonsigular. We investigate some properties of strongly -nonsigular modules. Direct summand, direct sums and some connections of such modules are discussed.
|
| first_indexed | 2024-04-13T23:21:46Z |
| format | Article |
| id | doaj.art-8d1c2b6650064251b4c9bb55627f2bc9 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T23:21:46Z |
| publishDate | 2019-01-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-8d1c2b6650064251b4c9bb55627f2bc92022-12-22T02:25:13ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072019-01-0132110.30526/32.1.1919Strongly K-nonsingular ModulesTha'ar Younis Ghawi0Arabia A submodule N of a module M is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential kernels, named, strongly -nonsigular. We investigate some properties of strongly -nonsigular modules. Direct summand, direct sums and some connections of such modules are discussed. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1919: Modules; S-essential submodules; nonsingular modules; Strongly K-nonsigular modules. |
| spellingShingle | Tha'ar Younis Ghawi Strongly K-nonsingular Modules Ibn Al-Haitham Journal for Pure and Applied Sciences : Modules; S-essential submodules; nonsingular modules; Strongly K-nonsigular modules. |
| title | Strongly K-nonsingular Modules |
| title_full | Strongly K-nonsingular Modules |
| title_fullStr | Strongly K-nonsingular Modules |
| title_full_unstemmed | Strongly K-nonsingular Modules |
| title_short | Strongly K-nonsingular Modules |
| title_sort | strongly k nonsingular modules |
| topic | : Modules; S-essential submodules; nonsingular modules; Strongly K-nonsigular modules. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1919 |
| work_keys_str_mv | AT thaaryounisghawi stronglyknonsingularmodules |