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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 5, Pages 40–45 (Mi ivm8702)  
Implicit algebraic geometry of universal algebras

A. G. Pinus

Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, Novosibirsk, Russia
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Abstract: Using the notion of an implicit operation on universal algebras, we redefine basic notions of the algebraic geometry of universal algebras. The results obtained for the implicit algebraic geometry imply (as special cases) the known results on the conditional geometrical and algebraic geometrical comparability of algebras.
Keywords: algebraic, conditional algebraic geometries of universal algebras, implicit operations, varieties, pseudovarieties.
Received: 23.05.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 5, Pages 34–38
DOI: https://doi.org/10.3103/S1066369X12050040
Bibliographic databases:
Document Type: Article
UDC: 512.56
Language: Russian
Citation: A. G. Pinus, “Implicit algebraic geometry of universal algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5, 40–45; Russian Math. (Iz. VUZ), 56:5 (2012), 34–38
Citation in format AMSBIB
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\by A.~G.~Pinus
\paper Implicit algebraic geometry of universal algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 5
\pages 40--45
\mathnet{http://mi.mathnet.ru/ivm8702}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076888}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 5
\pages 34--38
\crossref{https://doi.org/10.3103/S1066369X12050040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862680847}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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