This article is cited in 11 papers

Complexity of Quasivariety Lattices for Varieties of Unary Algebras

A. V. Kravchenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: With the help of the sufficient conditions of [1, 2] for $\mathcal Q$-universality we show that, for each $n\geqslant 2$, there exists a minimal $\mathcal Q$-universal variety of unary algebras with $n$ fundamental operations.

Key words: variety, $\mathcal Q$-universal quasivariety, unary algebra.

UDC: 512.57

Received: 02.10.2000

 English version: Siberian Advances in Mathematics, 2002, 12:1, 63–76

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