Varieties of Burnside ai-semirings satisfying x n ≈ x
We study the ai-semiring variety defined by the identity x n ≈ x. We show that some subvarieties of this variety are determined by certain properties of some binary relations and provide equational basis for them. Also, we provide models of the free objects in some subvarieties of this variety.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 1-2 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-021-164-8 |
| Online Access: | http://acta.bibl.u-szeged.hu/73916 |
| Tartalmi kivonat: | We study the ai-semiring variety defined by the identity x n ≈ x. We show that some subvarieties of this variety are determined by certain properties of some binary relations and provide equational basis for them. Also, we provide models of the free objects in some subvarieties of this variety. |
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| Terjedelem/Fizikai jellemzők: | 39-61 |
| ISSN: | 2064-8316 |