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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 332–337 (Mi semr921)  

Mathematical logic, algebra and number theory

On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry

A. G. Pinus

Novosibirsk State Technical University, pr. K. Marx, 20, 630073, Novosibirsk, Russia

Abstract: We study the elementary closure operation on subsets of universal algebras induced by elementary geometries of this algebras along with the equivalence relation on functional clones with respect to the equality of their elementary geometries.

Keywords: elementary types, elementary geometries of algebras, functional clones.

DOI: https://doi.org/10.17377/semi.2018.15.030

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Bibliographic databases:

Document Type: Article
UDC: 512.57
MSC: 08A99
Received April 19, 2017, published March 21, 2018

Citation: A. G. Pinus, “On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry”, Sib. Èlektron. Mat. Izv., 15 (2018), 332–337

Citation in format AMSBIB
\Bibitem{Pin18}
\by A.~G.~Pinus
\paper On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 332--337
\mathnet{http://mi.mathnet.ru/semr921}
\crossref{https://doi.org/10.17377/semi.2018.15.030}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3783355}
\zmath{https://zbmath.org/?q=an:06931659}


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