Congruences in slim, planar, semimodular lattices the swing lemma /
In an earlier paper, to describe how a congruence spreads from a prime interval to another in a finite lattice, I introduced the concept of primeperspectivity and its transitive extension, prime-projectivity and proved the Prime-projectivity Lemma. In this paper, I specialize the Prime-projectivity...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Algebra, Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-015-757-1 |
| Online Access: | http://acta.bibl.u-szeged.hu/36441 |
| Tartalmi kivonat: | In an earlier paper, to describe how a congruence spreads from a prime interval to another in a finite lattice, I introduced the concept of primeperspectivity and its transitive extension, prime-projectivity and proved the Prime-projectivity Lemma. In this paper, I specialize the Prime-projectivity Lemma to slim, planar, semimodular lattices to obtain the Swing Lemma, a very powerful description of the congruence generated by a prime interval in this special class of lattices. |
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| Terjedelem/Fizikai jellemzők: | 381-397 |
| ISSN: | 0001-6969 |