Varieties of weak lattices covering the variety of distributive lattices
It is well known that exactly two subvarieties of the variety of lattices cover the variety of distributive lattices. In a generalization of lattices, the weakly associative lattices, three more covering varieties are known. In this paper we consider a further generalization, weak lattices. We get t...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16310 |
| Tartalmi kivonat: | It is well known that exactly two subvarieties of the variety of lattices cover the variety of distributive lattices. In a generalization of lattices, the weakly associative lattices, three more covering varieties are known. In this paper we consider a further generalization, weak lattices. We get this variety by omitting all identities keeping only the eight absorption laws. We shall prove that in this variety the variety of distributive lattices is covered by infinitely many subvarieties. |
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| Terjedelem/Fizikai jellemzők: | 377-392 |
| ISSN: | 0001-6969 |