Strongly Essentially Quasi-Dedekind Modules
Let R be a commutative ring with unity. In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasiDedekind module. A unitary R-module M is called a strongly essentially quasi-Dedekind module if ( , ) 0 Hom M N M for a...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-05-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/695 |
| _version_ | 1828344184557273088 |
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| author | I. M.A. Hadi T.Y. Ghawi |
| author_facet | I. M.A. Hadi T.Y. Ghawi |
| author_sort | I. M.A. Hadi |
| collection | DOAJ |
| description |
Let R be a commutative ring with unity. In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasiDedekind module. A unitary R-module M is called a strongly essentially quasi-Dedekind module if ( , ) 0 Hom M N M for all semiessential submodules N of M. Where a submodule N of an R-module M is called semiessential if , 0  pN for all nonzero prime submodules P of M .
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| first_indexed | 2024-04-13T23:53:50Z |
| format | Article |
| id | doaj.art-831bdce356ae4885bb4e5794f871cde7 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T23:53:50Z |
| publishDate | 2017-05-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-831bdce356ae4885bb4e5794f871cde72022-12-22T02:24:00ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-05-01251Strongly Essentially Quasi-Dedekind ModulesI. M.A. HadiT.Y. Ghawi Let R be a commutative ring with unity. In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasiDedekind module. A unitary R-module M is called a strongly essentially quasi-Dedekind module if ( , ) 0 Hom M N M for all semiessential submodules N of M. Where a submodule N of an R-module M is called semiessential if , 0  pN for all nonzero prime submodules P of M . https://jih.uobaghdad.edu.iq/index.php/j/article/view/695Essentially quasi-Dedekind Modules; Strongly essentially quasi-Dedekind Modules, Semiessential submodules, Multiplication Modules. |
| spellingShingle | I. M.A. Hadi T.Y. Ghawi Strongly Essentially Quasi-Dedekind Modules Ibn Al-Haitham Journal for Pure and Applied Sciences Essentially quasi-Dedekind Modules; Strongly essentially quasi-Dedekind Modules, Semiessential submodules, Multiplication Modules. |
| title | Strongly Essentially Quasi-Dedekind Modules |
| title_full | Strongly Essentially Quasi-Dedekind Modules |
| title_fullStr | Strongly Essentially Quasi-Dedekind Modules |
| title_full_unstemmed | Strongly Essentially Quasi-Dedekind Modules |
| title_short | Strongly Essentially Quasi-Dedekind Modules |
| title_sort | strongly essentially quasi dedekind modules |
| topic | Essentially quasi-Dedekind Modules; Strongly essentially quasi-Dedekind Modules, Semiessential submodules, Multiplication Modules. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/695 |
| work_keys_str_mv | AT imahadi stronglyessentiallyquasidedekindmodules AT tyghawi stronglyessentiallyquasidedekindmodules |