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 |
| Summary: | 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 . |
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| ISSN: | 2078-8665 2411-7986 |