Joshi Vinayak Vishnupant and Kavishwar Shubhangi: z-ideals in lattices. In: Acta scientiarum mathematicarum, (85) 1-2. pp. 59-68. (2019)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2019 |
| Volume: | 85 |
| Number: | 1-2 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 59-68 |
| Official URL: | http://www.acta.hu |
| Related URLs: | http://acta.bibl.u-szeged.hu/62105/ |
| DOI: | 10.14232/actasm-016-012-2 |
| Uncontrolled Keywords: | Matematika |
| Additional Information: | Bibliogr.: p. 67-68. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. Sep. 25. 09:50 |
| Last Modified: | 2021. Mar. 25. 15:30 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/62133 |
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