On generators of commutative semifields
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917669321572352 |
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| author | Kala, Vítězslav Šíma, Lucien |
| author_facet | Kala, Vítězslav Šíma, Lucien |
| contents | We study ideal-simple commutative semirings and summarize the results giving their classification, in particular when they are finitely generated. In the principal case of (para)semifields, we then consider their minimal number of generators and show that it grows linearly with the depth of an associated rooted forest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07287 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On generators of commutative semifields Kala, Vítězslav Šíma, Lucien Rings and Algebras Primary 12K10, 20M14, secondary 05C05, 06F20, 16Y60 We study ideal-simple commutative semirings and summarize the results giving their classification, in particular when they are finitely generated. In the principal case of (para)semifields, we then consider their minimal number of generators and show that it grows linearly with the depth of an associated rooted forest. |
| title | On generators of commutative semifields |
| topic | Rings and Algebras Primary 12K10, 20M14, secondary 05C05, 06F20, 16Y60 |
| url | https://arxiv.org/abs/2307.07287 |