| Autor: |
Xuliang Xian, Yong Shao, Junling Wang |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 7, Iss 3, Pp 4293-4303 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2022237?viewType=HTML |
| Popis: |
In this paper, we study some subvarieties of a semiring variety determined by certain additional identities. We first present alternative characterizations for equivalences $ \overset{+}{\mathcal{H}}{\cap}\overset{\cdot}{\mathcal{L}} $, $ \overset{+}{\mathcal{H}}{\cap}\overset{\cdot}{\mathcal{R}} $, $ \overset{+}{\mathcal{H}}{\cap}\overset{\cdot}{\mathcal{D}} $, $ \overset{+}{\mathcal{H}}{\vee}\overset{\cdot}{\mathcal{L}} $, $ \overset{+}{\mathcal{H}}{\vee}\overset{\cdot}{\mathcal{R}} $, $ \overset{+}{\mathcal{H}}{\vee}\overset{\cdot}{\mathcal{D}} $. Then we give the sufficient and necessary conditions for these equivalences to be congruence. Finally, we prove that semiring classes defined by these congruences are varieties and provide equational bases. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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