The finite basis problem for additively idempotent semirings of order four, I
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916919634821120 |
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| author | Ren, Miaomiao Liu, Junyang Zeng, Lingli Chen, Menglong |
| author_facet | Ren, Miaomiao Liu, Junyang Zeng, Lingli Chen, Menglong |
| contents | We study the finite basis problem for 4-element additively idempotent semirings whose additive reducts are semilattices of height 1. Up to isomorphism, there are 58 such algebras. We show that 49 of them are finitely based and the remaining ones are nonfinitely based. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The finite basis problem for additively idempotent semirings of order four, I Ren, Miaomiao Liu, Junyang Zeng, Lingli Chen, Menglong Group Theory 16Y60, 03C05, 08B05 We study the finite basis problem for 4-element additively idempotent semirings whose additive reducts are semilattices of height 1. Up to isomorphism, there are 58 such algebras. We show that 49 of them are finitely based and the remaining ones are nonfinitely based. |
| title | The finite basis problem for additively idempotent semirings of order four, I |
| topic | Group Theory 16Y60, 03C05, 08B05 |
| url | https://arxiv.org/abs/2407.15342 |