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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerző: Kuril Martin
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2017
Sorozat:Acta scientiarum mathematicarum 83 No. 1-2
Kulcsszavak:Matematika
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/48914
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490 0 |a Acta scientiarum mathematicarum  |v 83 No. 1-2 
520 3 |a 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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650 4 |a Matematika 
695 |a Matematika 
856 4 0 |u http://acta.bibl.u-szeged.hu/48914/1/math_083_numb_001-002_035-050.pdf  |z Dokumentum-elérés