Notes on bounded Hilbert algebras with supremum
In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between a - ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of cr-ideals and we will see that this class is strongly...
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 1-2 |
| Kulcsszavak: | Hilbert-algebra |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-012-267- 9 |
| Online Access: | http://acta.bibl.u-szeged.hu/34482 |
| Tartalmi kivonat: | In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between a - ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of cr-ideals and we will see that this class is strongly connected with the deductive systems. We will also characterize the bounded Hilbert algebras with supremum satisfying the Stone identity. |
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| Terjedelem/Fizikai jellemzők: | 3-19 |
| ISSN: | 0001-6969 |