Representable tolerances in varieties
We discuss two possible ways of representing tolerances: first, as a homomorphic image of some congruence; second, as the relational composition of some compatible relation with its converse. The second way is independent from the variety under consideration, while the first way is variety-dependent...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/30859 |
| Tartalmi kivonat: | We discuss two possible ways of representing tolerances: first, as a homomorphic image of some congruence; second, as the relational composition of some compatible relation with its converse. The second way is independent from the variety under consideration, while the first way is variety-dependent. The relationships between these two kinds of representations are clarified. As an application, we show that any tolerance on some lattice £ is the image of some congruence on a subalgebra of £ x £. This is related to recent results by G. Czedli, G. Gratzer and E. W. Kiss. |
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| Terjedelem/Fizikai jellemzők: | 3-16 |
| ISSN: | 0001-6969 |