A note on Stone posets
In this paper, we prove that a bounded poset P is a pseudocomplemented poset satisfying the Stone identity if the set of all semicomplements of every element of P forms an u-ideal which is a dual modular direct factor of P. Further, we prove that a bounded pseudocomplemented poset P in which every n...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16418 |
| Tartalmi kivonat: | In this paper, we prove that a bounded poset P is a pseudocomplemented poset satisfying the Stone identity if the set of all semicomplements of every element of P forms an u-ideal which is a dual modular direct factor of P. Further, we prove that a bounded pseudocomplemented poset P in which every normal ideal is principal satisfies the Stone identity if and only if Id(P) also satisfies the Stone identity. |
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| Terjedelem/Fizikai jellemzők: | 49-55 |
| ISSN: | 0001-6969 |