This article is cited in 4 papers

Finite Lattices as Lattices of Relative Congruences of Finite Unars and Abelian Groups

A. M. Nurakunov


Abstract: 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.

UDC: 512.57

Received: 31.08.1999

 English version: Algebra and Logic, 2001, 40:3, 166–169

Bibliographic databases:

• 
• 
•