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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Elmentve itt :
Bibliográfiai részletek
Szerző: Czédli Gábor
Dokumentumtípus: Cikk
Megjelent: 2016
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
Leíró adatok
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
Terjedelem/Fizikai jellemzők:100-108
ISSN:0236-5294