Zariski topology on the spectrum of graded pseudo prime submodules
In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings. We study the Zariski topology on the graded spectrum of graded pseudo prime submodules. We clarify the relation between the prope...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2020-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39909 |
| _version_ | 1797633497478725632 |
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| author | Rashid Abu-Dawwas |
| author_facet | Rashid Abu-Dawwas |
| author_sort | Rashid Abu-Dawwas |
| collection | DOAJ |
| description |
In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings. We study the Zariski topology on the graded spectrum of graded pseudo prime submodules. We clarify the relation between the properties of this topological space and the algebraic properties of the graded modules under consideration.
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| first_indexed | 2024-03-11T11:54:51Z |
| format | Article |
| id | doaj.art-782fbb62fdda4d998f2a003f9a662434 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:51Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-782fbb62fdda4d998f2a003f9a6624342023-11-08T20:01:35ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139310.5269/bspm.39909Zariski topology on the spectrum of graded pseudo prime submodulesRashid Abu-Dawwas0Yarmouk University In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings. We study the Zariski topology on the graded spectrum of graded pseudo prime submodules. We clarify the relation between the properties of this topological space and the algebraic properties of the graded modules under consideration. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39909 |
| spellingShingle | Rashid Abu-Dawwas Zariski topology on the spectrum of graded pseudo prime submodules Boletim da Sociedade Paranaense de Matemática |
| title | Zariski topology on the spectrum of graded pseudo prime submodules |
| title_full | Zariski topology on the spectrum of graded pseudo prime submodules |
| title_fullStr | Zariski topology on the spectrum of graded pseudo prime submodules |
| title_full_unstemmed | Zariski topology on the spectrum of graded pseudo prime submodules |
| title_short | Zariski topology on the spectrum of graded pseudo prime submodules |
| title_sort | zariski topology on the spectrum of graded pseudo prime submodules |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39909 |
| work_keys_str_mv | AT rashidabudawwas zariskitopologyonthespectrumofgradedpseudoprimesubmodules |