Varieties of lattice effect algebras generated by four-element members
It has been recently shown [3] that the lattice effect algebras can be treated as a subvariety of the variety of so-called basic algebras. The main goal of this paper is to describe the variety of basic algebras generated by the horizontal sum of two 3-element MV-chains. It is shown that this variet...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2008
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| Sorozat: | Acta scientiarum mathematicarum
74 No. 1-2 |
| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16224 |
| Tartalmi kivonat: | It has been recently shown [3] that the lattice effect algebras can be treated as a subvariety of the variety of so-called basic algebras. The main goal of this paper is to describe the variety of basic algebras generated by the horizontal sum of two 3-element MV-chains. It is shown that this variety is modulo the variety of distributive lattice effect algebras characterized by a unique simple identity. |
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| Terjedelem/Fizikai jellemzők: | 49-64 |
| ISSN: | 0001-6969 |