The finite basis problem for additively idempotent semirings of order four, III
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911164406956032 |
|---|---|
| author | Ren, Miaomiao Liu, Zexi Yue, Mengya Chen, Yizhi |
| author_facet | Ren, Miaomiao Liu, Zexi Yue, Mengya Chen, Yizhi |
| contents | We study the finite basis problem for $4$-element additively idempotent semirings whose additive reducts have two minimal elements and one coatom. Up to isomorphism, there are $112$ such algebras. We show that $106$ of them are finitely based and the remaining ones are nonfinitely based. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The finite basis problem for additively idempotent semirings of order four, III Ren, Miaomiao Liu, Zexi Yue, Mengya Chen, Yizhi Group Theory 16Y60, 03C05, 08B05 We study the finite basis problem for $4$-element additively idempotent semirings whose additive reducts have two minimal elements and one coatom. Up to isomorphism, there are $112$ such algebras. We show that $106$ of them are finitely based and the remaining ones are nonfinitely based. |
| title | The finite basis problem for additively idempotent semirings of order four, III |
| topic | Group Theory 16Y60, 03C05, 08B05 |
| url | https://arxiv.org/abs/2504.07511 |