This article is cited in 4 papers

Complexity of quasivariety lattices for varieties of differential groupoids

A. V. Kravchenko

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

Abstract: In 1987, Romanowska and Roszkowska found an explicit description of the lattice of varieties of differential groupoids. In 2008, the author proved that the lattice of quasivarieties of differential groupoids is $Q$-universal. In the present article, we find an example of a minimal $Q$-universal variety of differential groupoids.

Key words: differential groupoid, quasivariety, subdirect product, lattice of quasivarieties, $Q$-universal quasivariety.

UDC: 512.56

Received: 01.10.2008

 English version: Siberian Advances in Mathematics, 2009, 19:3, 162–171

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