A selfdual embedding of the free lattice over countably many generators into the three-generated one
By a 1941 result of Whitman, the free lattice FL(3) = FL(x, y, z) includes a sublattice FL(ω) freely generated by infinitely many elements. Let δ denote the unique dual automorphism of FL(x, y, z) that acts identically on the set {x, y, z} of generators. We prove that FL(x, y, z) has a sublattice S...
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| Dokumentumtípus: | Cikk |
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2016
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| Sorozat: | ACTA MATHEMATICA HUNGARICA
148 No. 1 |
| doi: | 10.1007/s10474-015-0560-3 |
| mtmt: | 2984004 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/14543 |
| Tartalmi kivonat: | By a 1941 result of Whitman, the free lattice FL(3) = FL(x, y, z) includes a sublattice FL(ω) freely generated by infinitely many elements. Let δ denote the unique dual automorphism of FL(x, y, z) that acts identically on the set {x, y, z} of generators. We prove that FL(x, y, z) has a sublattice S isomorphic to FL(ω) such that δ(S) = S. © 2015 Akadémiai Kiadó, Budapest, Hungary |
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| Terjedelem/Fizikai jellemzők: | 100-108 |
| ISSN: | 0236-5294 |