About weakly Bézout rings
In this paper, we examine the transfer of the proprety weakly Bézout to the trivial ring extensions. These results provide examples of weakly Bézout rings that are not Bézout rings. We show that the proprety weakly Bézout is not stable under finite direct products. Also, the class of 2- Bézout ring...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/44605 |
| _version_ | 1797633475813048320 |
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| author | Haitham El Alaoui Hakima Mouanis |
| author_facet | Haitham El Alaoui Hakima Mouanis |
| author_sort | Haitham El Alaoui |
| collection | DOAJ |
| description |
In this paper, we examine the transfer of the proprety weakly Bézout to the trivial ring extensions. These results provide examples of weakly Bézout rings that are not Bézout rings. We show that the proprety weakly Bézout is not stable under finite direct products. Also, the class of 2- Bézout rings and class of coherent rings are not comparable with the class of weakly Bézout rings.
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| first_indexed | 2024-03-11T11:54:32Z |
| format | Article |
| id | doaj.art-246f598cb2dc42c3b05122fef80c93e2 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:32Z |
| publishDate | 2022-02-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-246f598cb2dc42c3b05122fef80c93e22023-11-08T19:49:20ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-02-014010.5269/bspm.44605About weakly Bézout ringsHaitham El Alaoui0Hakima Mouanis1Sidi Mohamed Ben Abdellah UniversitySidi Mohamed Ben Abdellah University In this paper, we examine the transfer of the proprety weakly Bézout to the trivial ring extensions. These results provide examples of weakly Bézout rings that are not Bézout rings. We show that the proprety weakly Bézout is not stable under finite direct products. Also, the class of 2- Bézout rings and class of coherent rings are not comparable with the class of weakly Bézout rings. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/44605 |
| spellingShingle | Haitham El Alaoui Hakima Mouanis About weakly Bézout rings Boletim da Sociedade Paranaense de Matemática |
| title | About weakly Bézout rings |
| title_full | About weakly Bézout rings |
| title_fullStr | About weakly Bézout rings |
| title_full_unstemmed | About weakly Bézout rings |
| title_short | About weakly Bézout rings |
| title_sort | about weakly bezout rings |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/44605 |
| work_keys_str_mv | AT haithamelalaoui aboutweaklybezoutrings AT hakimamouanis aboutweaklybezoutrings |