Approximately Prime Rings and Prime Ideals
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915229613424640 |
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| author | Almahariq, Maram Peters, James Francis Vergili, Tane |
| author_facet | Almahariq, Maram Peters, James Francis Vergili, Tane |
| contents | This article focuses on approximately prime rings and approximately prime ideals in proximal relator spaces, especially in descriptive proximity spaces. In particular, we define some binary operations, including the product of two approximately prime ideals and the direct product of approximately prime rings, and study the approximately principle prime ideals. Moreover, we introduce some fundamental properties of these approximately algebraic structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximately Prime Rings and Prime Ideals Almahariq, Maram Peters, James Francis Vergili, Tane Rings and Algebras 08A05, 54E05 This article focuses on approximately prime rings and approximately prime ideals in proximal relator spaces, especially in descriptive proximity spaces. In particular, we define some binary operations, including the product of two approximately prime ideals and the direct product of approximately prime rings, and study the approximately principle prime ideals. Moreover, we introduce some fundamental properties of these approximately algebraic structures. |
| title | Approximately Prime Rings and Prime Ideals |
| topic | Rings and Algebras 08A05, 54E05 |
| url | https://arxiv.org/abs/2504.04146 |