A. G. Pinus, “Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras”, Sibirsk. Mat. Zh., 2008, Volume 49, Number 4,Pages <nobr>865

This article is cited in 4 papers

Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras

A. G. Pinus

Novosibirsk State Technical University

Abstract: We find an elementary equivalence criterion for the lattices of subalgebras of free algebras in regular varieties. The question is addressed of elementary equivalence for the automorphism groups of algebras of this type.

Keywords: lattice of subalgebras, automorphism group, free algebra, regular variety, unar.

UDC: 512.565.7

Received: 15.06.2006