This article is cited in 2 papers

On $\infty$-quasivarieties

A. G. Pinus

Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We introduce the notion of an $\infty$-quasivariety and characterize $\infty$-quasivarieties as classes closed with respect to certain operators.

Keywords: universal algebras, quasiidentities, direct limits, direct products, subalgebras.

UDC: 512.563

Received: 07.05.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:8, 33–37

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