The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules
In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = ( ), provided that is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section...
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University of Baghdad, College of Science for Women
2020-05-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3195 |
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| author | Aljebory et al. |
| author_facet | Aljebory et al. |
| author_sort | Aljebory et al. |
| collection | DOAJ |
| description | In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = ( ), provided that is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section three
-If is a principal self-generator semimodule, then (ȘȘ) = W(Ș).
Subject Classification: 16y60 |
| format | Article |
| id | doaj-art-91e2afcd7a2d426e956b8a152efb1cca |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2020-05-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-91e2afcd7a2d426e956b8a152efb1cca2025-08-20T02:52:15ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862020-05-0117210.21123/bsj.2020.17.2.0523The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective SemimodulesAljebory et al.0جامعة بابلIn this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = ( ), provided that is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section three -If is a principal self-generator semimodule, then (ȘȘ) = W(Ș). Subject Classification: 16y60http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3195Jacobson radical of semiring, P-injective, P.Q.- principal injective semimodule, Semimodule semiring. |
| spellingShingle | Aljebory et al. The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules مجلة بغداد للعلوم Jacobson radical of semiring, P-injective, P.Q.- principal injective semimodule, Semimodule semiring. |
| title | The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules |
| title_full | The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules |
| title_fullStr | The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules |
| title_full_unstemmed | The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules |
| title_short | The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules |
| title_sort | jacobson radical of the endomorphism semiring of p q principal injective semimodules |
| topic | Jacobson radical of semiring, P-injective, P.Q.- principal injective semimodule, Semimodule semiring. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3195 |
| work_keys_str_mv | AT aljeboryetal thejacobsonradicaloftheendomorphismsemiringofpqprincipalinjectivesemimodules AT aljeboryetal jacobsonradicaloftheendomorphismsemiringofpqprincipalinjectivesemimodules |