Grätzer G.: Atom-generated planar lattices. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 351-357. (2020)
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Abstract
In this note, we discuss planar lattices generated by their atoms. We prove that if L is a planar lattice generated by n atoms, then both the left and the right boundaries of L have at most n + 1 elements. On the other hand, L can be arbitrarily large. For every k > 1, we construct a planar lattice L generated by 4 atoms such that L has more than k elements.
| Item Type: | Article |
|---|---|
| Heading title: | Algebra |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2020 |
| Volume: | 86 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 351-357 |
| Language: | English |
| Related URLs: | http://acta.bibl.u-szeged.hu/73790/ |
| DOI: | 10.14232/actasm-020-363-7 |
| Uncontrolled Keywords: | Algebra, Matematika |
| Additional Information: | Bibliogr.: 357. p. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 15. 12:57 |
| Last Modified: | 2021. Nov. 15. 12:57 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73895 |
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