Special elements in lattices of semigroup varieties
We survey results concerning special elements of eight types (modular, lower-modular, upper-modular, distributive, codistributive, standard, costandard and neutral elements) in the lattice of all semigroup varieties and three of its sublattices, namely, the lattices of commutative varieties, of perm...
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. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-072-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/35196 |
| Tartalmi kivonat: | We survey results concerning special elements of eight types (modular, lower-modular, upper-modular, distributive, codistributive, standard, costandard and neutral elements) in the lattice of all semigroup varieties and three of its sublattices, namely, the lattices of commutative varieties, of permutative varieties and of overcommutative ones. These results are due to Jezek, McKenzie, Shaprynskii, Volkov and the author. Several open questions are formulated. |
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| Terjedelem/Fizikai jellemzők: | 79-109 |
| ISSN: | 0001-6969 |