z-ideals in lattices
In this paper, we define z-ideals in bounded lattices. A separation theorem for the existence of prime z-ideals is proved in distributive lattices. As a consequence, we prove that every z-ideal is the intersection of some prime zideals. Lastly, we prove a characterization of dually semi-complemented...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 1-2 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-016-012-2 |
| Online Access: | http://acta.bibl.u-szeged.hu/62133 |
| Tartalmi kivonat: | In this paper, we define z-ideals in bounded lattices. A separation theorem for the existence of prime z-ideals is proved in distributive lattices. As a consequence, we prove that every z-ideal is the intersection of some prime zideals. Lastly, we prove a characterization of dually semi-complemented lattices. |
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| Terjedelem/Fizikai jellemzők: | 59-68 |
| ISSN: | 2064-8316 |