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Algebra i logika, 2010, Volume 49, Number 6, Pages 715–756 (Mi al464)  
This article is cited in 34 scientific papers (total in 34 papers)

Algebraic geometry over algebraic structures. IV. Equational domains and codomains

É Yu. Daniyarovaa, A. G. Myasnikovb, V. N. Remeslennikova

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science, Omsk, Russia
b Schaefer School of Engineering and Science, Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, USA
Full-text PDF (372 kB) Citations (34)
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Abstract: We introduce and study equational domains and equational codomains. Informally, an equational domain is an algebra every finite union of algebraic sets over which is an algebraic set; an equational codomain is an algebra every proper finite union of algebraic sets over which is not an algebraic set.
Keywords: algebra, algebraic set, universal algebraic geometry, disjunctive equation, equational domain, equational codomain, discriminating algebra, codiscriminating algebra.
Received: 07.08.2010
Revised: 28.11.2010
English version:
Algebra and Logic, 2010, Volume 49, Issue 6, Pages 483–508
DOI: https://doi.org/10.1007/s10469-011-9112-2
Bibliographic databases:
Document Type: Article
UDC: 512.71+512.577+512.55
Language: Russian
Citation: É Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. IV. Equational domains and codomains”, Algebra Logika, 49:6 (2010), 715–756; Algebra and Logic, 49:6 (2010), 483–508
Citation in format AMSBIB
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\paper Algebraic geometry over algebraic structures.~IV. Equational domains and codomains
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\yr 2010
\vol 49
\issue 6
\pages 715--756
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\transl
\jour Algebra and Logic
\yr 2010
\vol 49
\issue 6
\pages 483--508
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    Cycle of papers
    This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :136
    References:72
    First page:20
     
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