Finite Lattices as Lattices of Relative Congruences of Finite Unars and Abelian Groups
Algebra i logika, Tome 40 (2001) no. 3, pp. 302-308
Voir la notice de l'article provenant de la source Math-Net.Ru
It is proved that every finite lattice is isomorphic to an $\mathbf R$-congruence lattice of a finite unar (finite Abelian group), as well as to a lattice of $\mathbf R$-varieties for some locally finite finitely axiomatizable quasivariety of unars (Abelian groups) $\mathbf R$.
Keywords:
finite group, unar, finite Abelian group, $\mathbf R$-congruence lattice, lattice of $\mathbf R$-varieties.
@article{AL_2001_40_3_a3,
author = {A. M. Nurakunov},
title = {Finite {Lattices} as {Lattices} of {Relative} {Congruences} of {Finite} {Unars} and {Abelian} {Groups}},
journal = {Algebra i logika},
pages = {302--308},
publisher = {mathdoc},
volume = {40},
number = {3},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2001_40_3_a3/}
}
A. M. Nurakunov. Finite Lattices as Lattices of Relative Congruences of Finite Unars and Abelian Groups. Algebra i logika, Tome 40 (2001) no. 3, pp. 302-308. http://geodesic.mathdoc.fr/item/AL_2001_40_3_a3/