Planar semilattices and nearlattices with eighty-three subnearlattices
Finite (upper) nearlattices are essentially the same mathematical entities as finite semilattices, finite commutative idempotent semigroups, finite join-enriched meet semilattices, and chopped lattices. We prove that if an nelement nearlattice has at least 83 · 2 n−8 subnearlattices, then it has a p...
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| Main Author: | |
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| Format: | Article |
| Published: |
2020
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| Series: | Acta scientiarum mathematicarum
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| Kulcsszavak: | Matematika, Algebra |
| Subjects: | |
| doi: | 10.14232/actasm-019-573-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/69366 |
| Summary: | Finite (upper) nearlattices are essentially the same mathematical entities as finite semilattices, finite commutative idempotent semigroups, finite join-enriched meet semilattices, and chopped lattices. We prove that if an nelement nearlattice has at least 83 · 2 n−8 subnearlattices, then it has a planar Hasse diagram. For n > 8, this result is sharp. |
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| Physical Description: | 117-165 |
| ISSN: | 2064-8316 |