TY  - JOUR
VL  - 79
SN  - 0002-5240
N1  - FELTÖLT?: Czédli Gábor czedli@math.u-szeged.hu
N1 Funding details: K 115518, OTKA, Országos Tudományos Kutatási Alapprogramok
N1 Funding text: Presented by J.B. Nation. This article is part of the topical collection ?In memory of Bjarni Jónsson? edited by J.B. Nation. This research was supported by NFSR of Hungary (OTKA), Grant number K 115518.
A1  -  Czédli Gábor
Y1  - 2018///
ID  - publicatio14522
AV  - public
UR  - http://publicatio.bibl.u-szeged.hu/14522/
N2  - Motivated by a recent paper of G. Grätzer, a finite distributive lattice D is called fully principal congruence representable if for every subset Q of D containing 0, 1, and the set J(D) of nonzero join-irreducible elements of D, there exists a finite lattice L and an isomorphism from the congruence lattice of L onto D such that Q corresponds to the set of principal congruences of L under this isomorphism. A separate paper of the present author contains a necessary condition of full principal congruence representability: D should be planar with at most one join-reducible coatom. Here we prove that this condition is sufficient. Furthermore, even the automorphism group of L can arbitrarily be stipulated in this case. Also, we generalize a recent result of G. Grätzer on principal congruence representable subsets of a distributive lattice whose top element is join-irreducible by proving that the automorphism group of the lattice we construct can be arbitrary. Š 2018, Springer International Publishing AG, part of Springer Nature.
TI  - Characterizing fully principal congruence representable distributive lattices
IS  - 1
JF  - ALGEBRA UNIVERSALIS
ER  -