B. I. Plotkin, “Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras”, Problems in the theory of representations of algebras and groups. Part 13, Zap. Nauchn. Sem. POMI, 330, POMI, St. Petersburg, 2006, 201–222; J. Math. Sci. (N. Y.), 140:5 (2007), 716

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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 330, Pages 201–222 (Mi znsl286)

This article is cited in 6 scientific papers (total in 6 papers)

Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras

B. I. Plotkin

Hebrew University of Jerusalem

Full-text PDF (235 kB) Citations (6)

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Abstract: In the paper the main attention is paid to conditions on algebras from a given variety which provide coincidence of their algebraic geometries. The main part here play the notions mentioned in the title of the paper.

Received: 10.12.2005

English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 5, Pages 716–728
DOI: https://doi.org/10.1007/s10958-007-0011-y

Bibliographic databases:

UDC: 512.5

Language: English

Citation: B. I. Plotkin, “Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras”, Problems in the theory of representations of algebras and groups. Part 13, Zap. Nauchn. Sem. POMI, 330, POMI, St. Petersburg, 2006, 201–222; J. Math. Sci. (N. Y.), 140:5 (2007), 716–728

Citation in format AMSBIB

\Bibitem{Plo06}

\by B.~I.~Plotkin

\paper Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras

\inbook Problems in the theory of representations of algebras and groups. Part~13

\serial Zap. Nauchn. Sem. POMI

\yr 2006

\vol 330

\pages 201--222

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl286}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2253574}

\zmath{https://zbmath.org/?q=an:1139.08004}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2007

\vol 140

\issue 5

\pages 716--728

\crossref{https://doi.org/10.1007/s10958-007-0011-y}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846166069}

Linking options:

https://www.mathnet.ru/eng/znsl286

https://www.mathnet.ru/eng/znsl/v330/p201

This publication is cited in the following 6 articles:

V. A. Roman'kov, “Algorithmic theory of solvable groups”, PDM, 2021, no. 52, 16–64
E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. VIII. Geometric equivalences and special classes of algebraic structures”, J. Math. Sci., 257:6 (2021), 797–813
E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. VI. Geometric equivalence”, Algebra and Logic, 56:4 (2017), 281–294
E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Universal geometrical equivalence of the algebraic structures of common signature”, Siberian Math. J., 58:5 (2017), 801–812
A. G. Pinus, “The algebraic and logical geometries of universal algebras (a unified approach)”, J. Math. Sci., 185:3 (2012), 473–483
Plotkin B., “Some Results and Problems Related to Universal Algebraic Geometry”, Int. J. Algebr. Comput., 17:5-6 (2007), 1133–1164

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	210
Full-text PDF :	85
References:	40

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