Principally Quasi-Injective Semimodules
In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules. Let be an -semimodule with endomorphism semiring Ș. The semimodule is called principally q...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2019-12-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4509 |
| _version_ | 1819031363515318272 |
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| author | Aljebory et al. |
| author_facet | Aljebory et al. |
| author_sort | Aljebory et al. |
| collection | DOAJ |
| description | In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules.
Let be an -semimodule with endomorphism semiring Ș. The semimodule is called principally quasi-injective, if every -homomorphism from any cyclic subsemimodule of to can be extended to an endomorphism of . |
| first_indexed | 2024-12-21T06:44:52Z |
| format | Article |
| id | doaj.art-85c9aebb967846649c38955ba1c165d7 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-12-21T06:44:52Z |
| publishDate | 2019-12-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-85c9aebb967846649c38955ba1c165d72022-12-21T19:12:38ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862019-12-0116410.21123/bsj.2019.16.4.0928Principally Quasi-Injective SemimodulesAljebory et al.In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules. Let be an -semimodule with endomorphism semiring Ș. The semimodule is called principally quasi-injective, if every -homomorphism from any cyclic subsemimodule of to can be extended to an endomorphism of .http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4509Principally quasi-injective semimodules, (injective, quasi-injective) semimodules, semimodules |
| spellingShingle | Aljebory et al. Principally Quasi-Injective Semimodules Baghdad Science Journal Principally quasi-injective semimodules, (injective, quasi-injective) semimodules, semimodules |
| title | Principally Quasi-Injective Semimodules |
| title_full | Principally Quasi-Injective Semimodules |
| title_fullStr | Principally Quasi-Injective Semimodules |
| title_full_unstemmed | Principally Quasi-Injective Semimodules |
| title_short | Principally Quasi-Injective Semimodules |
| title_sort | principally quasi injective semimodules |
| topic | Principally quasi-injective semimodules, (injective, quasi-injective) semimodules, semimodules |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4509 |
| work_keys_str_mv | AT aljeboryetal principallyquasiinjectivesemimodules |