Primitive quantales
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908401894686720 |
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| author | Goswami, Amartya Caviglia, Elena Mesiti, Luca |
| author_facet | Goswami, Amartya Caviglia, Elena Mesiti, Luca |
| contents | We generalize Jacobson's notion of primitive ring to the setting of quantales. We show that every primitive ring gives rise to a primitive quantale of ideals. We then prove a density theorem for strongly primitive quantales. Furthermore, we show that primitive quantales are prime and commutative strongly primitive quantales are field quantales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08124 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Primitive quantales Goswami, Amartya Caviglia, Elena Mesiti, Luca Rings and Algebras 06F07, 06B23 We generalize Jacobson's notion of primitive ring to the setting of quantales. We show that every primitive ring gives rise to a primitive quantale of ideals. We then prove a density theorem for strongly primitive quantales. Furthermore, we show that primitive quantales are prime and commutative strongly primitive quantales are field quantales. |
| title | Primitive quantales |
| topic | Rings and Algebras 06F07, 06B23 |
| url | https://arxiv.org/abs/2506.08124 |