Fractability for partially ordered groups and Boolean algebras
In the present paper there are introduced and investigated the notions of fractal and semifractal lattice ordered groups or Riesz groups, respectively. The definitions are related to those which have been applied in the lattice theory. Besides, there is shown the existence of a proper class of Boole...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 3-4 |
| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16392 |
| Tartalmi kivonat: | In the present paper there are introduced and investigated the notions of fractal and semifractal lattice ordered groups or Riesz groups, respectively. The definitions are related to those which have been applied in the lattice theory. Besides, there is shown the existence of a proper class of Boolean algebras which are semifractal lattices but fail to be fractal lattices. |
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| Terjedelem/Fizikai jellemzők: | 375-388 |
| ISSN: | 0001-6969 |