TY  - JOUR
N2  - A lattice is (1 + 1 + 2)-generated if it has a four-element generating set such that exactly two of the four generators are comparable. We prove that the lattice Quo(n) of all quasiorders (also known as preorders) of an n-element set is (1 + 1 + 2)-generated for n = 3 (trivially), n = 6 (when Quo(6) consists of 209 527 elements), n = 11, and for every natural number n ? 13. In 2017, the second author and J. Kulin proved that Quo(n) is (1 + 1 + 2)-generated if either n is odd and at least 13 or n is even and at least 56. Compared to the 2017 result, this paper presents twenty-four new numbers n such that Quo(n) is (1 + 1 + 2)-generated. Except for Quo(6), an extension of Zádori?s method is used.
IS  - 3-4
N1  - Bibliogr.: 427. p. ; összefoglalás angol nyelven
Y1  - 2021///
SN  - 2064-8316
CY  - Szeged
SP  - 415
KW  - Matematika
KW  -  Algebra
A1  -  Ahmed Delbrin
A1  -  Czédli Gábor
ID  - acta75848
JF  - Acta scientiarum mathematicarum
UR  - http://acta.bibl.u-szeged.hu/75848/
VL  - 87
TI  - (1 + 1 + 2)-generated lattices of quasiorders
EP  - 427
AV  - restricted
ER  -