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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2012 Volume 15, Number 2, Pages 89–99 (Mi mt240)

This article is cited in 3 papers

Complexity of quasivariety lattices for varieties of differential groupoids. II

A. V. Kravchenko

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

Abstract: We continue the study of the lattice of quasivarieties of differential groupoids. We suggest a method for constructing differential groupoids from graphs. We prove that, for every variety of differential groupoids, the cardinality of the lattice of subquasivarieties is either finite or equal to $2^\omega$.

Key words: mode, differential groupoid, quasivariety, subdirectly irreducible structure.

UDC: 512.56

Received: 13.02.2012


 English version:
Siberian Advances in Mathematics, 2013, 23:2, 84–90

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