Prime ideals in the Boolean polynomial semiring
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910130706055168 |
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| author | Mincheva, Kalina Sakran, Naufil |
| author_facet | Mincheva, Kalina Sakran, Naufil |
| contents | In this article, we disprove a conjecture of F. Alarcón and D. Anderson and give a complete classification of the prime ideals in the one variable polynomial semiring with coefficients in Boolean semifield. We group the prime ideals of $\mathbb{B}[x]$ into three classes, indexed by integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23839 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prime ideals in the Boolean polynomial semiring Mincheva, Kalina Sakran, Naufil Commutative Algebra Rings and Algebras In this article, we disprove a conjecture of F. Alarcón and D. Anderson and give a complete classification of the prime ideals in the one variable polynomial semiring with coefficients in Boolean semifield. We group the prime ideals of $\mathbb{B}[x]$ into three classes, indexed by integers. |
| title | Prime ideals in the Boolean polynomial semiring |
| topic | Commutative Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2512.23839 |