Admissible closure operators and varieties of semilattice-ordered normal bands
It is known that varieties of semilattice-ordered semigroups are in one-to-one correspondence with the ordered pairs (p. [ ]) where p is a fully invariant congruence on the free semigroup on a countably infinite set and [ ] is a p-admissible closure operator. We find all admissible closure operators...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/48914 |
| Tartalmi kivonat: | It is known that varieties of semilattice-ordered semigroups are in one-to-one correspondence with the ordered pairs (p. [ ]) where p is a fully invariant congruence on the free semigroup on a countably infinite set and [ ] is a p-admissible closure operator. We find all admissible closure operators for varieties of left normal bands. Using the obtained results we describe all varieties of semilattice-ordered left normal bands by admissible closure operators. We solve the identity problem for all varieties of semilattice-ordered normal bands. |
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| Terjedelem/Fizikai jellemzők: | 35-50 |
| ISSN: | 0001 6969 |