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Matematicheskie Trudy, 2009, Volume 12, Number 2, Pages 160–169 (Mi mt186)  
This article is cited in 8 scientific papers (total in 8 papers)

Geometric scales for varieties of algebras and quasi-identities

A. G. Pinus

Novosibirsk State Technical University, Novosibirsk, Russia
Full-text PDF (164 kB) Citations (8)
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Abstract: We introduce a preorder for universal algebras with respect to their geometries. This naturally leads to the notion of the geometric scale for a variety of algebras. We investigate connections between the introduced relation and infinite quasi-identities that hold in algebras, as well as other properties of the relation and the scale.
Key words: universal algebra, algebraic set, geometrically equivalent algebras, quasi-identities.
Received: 26.11.2008
English version:
Siberian Advances in Mathematics, 2010, Volume 20, Issue 3, Pages 217–222
DOI: https://doi.org/10.3103/S1055134410030065
Bibliographic databases:
UDC: 512.56
Language: Russian
Citation: A. G. Pinus, “Geometric scales for varieties of algebras and quasi-identities”, Mat. Tr., 12:2 (2009), 160–169; Siberian Adv. Math., 20:3 (2010), 217–222
Citation in format AMSBIB
\Bibitem{Pin09}
\by A.~G.~Pinus
\paper Geometric scales for varieties of algebras and quasi-identities
\jour Mat. Tr.
\yr 2009
\vol 12
\issue 2
\pages 160--169
\mathnet{http://mi.mathnet.ru/mt186}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2599430}
\transl
\jour Siberian Adv. Math.
\yr 2010
\vol 20
\issue 3
\pages 217--222
\crossref{https://doi.org/10.3103/S1055134410030065}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :115
    References:44
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