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Algebra i logika, 2015, Volume 54, Number 3, Pages 399–420
DOI: https://doi.org/10.17377/alglog.2015.54.306 (Mi al700) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Elements of algebraic geometry over a free semilattice

A. N. Shevlyakovab

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia
b Omsk State Technical University, pr. Mira 11, Omsk, 644050, Russia
Full-text PDF (207 kB) Citations (5)
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DOI: https://doi.org/10.17377/alglog.2015.54.306
Abstract: It is proved that every consistent system of equations over a free semilattice of arbitrary rank is equivalent to its finite subsystem. Furthermore, irreducible algebraic sets are studied, and we look at the consistency problem for systems of equations over free semilattices.
Keywords: algebraic geometry, free semilattice, system of equations over free semilattice.
Received: 26.01.2015
English version:
Algebra and Logic, 2015, Volume 54, Issue 3, Pages 258–271
DOI: https://doi.org/10.1007/s10469-015-9345-6
Bibliographic databases:
Document Type: Article
UDC: 512.71+512.577+512.53
Language: Russian
Citation: A. N. Shevlyakov, “Elements of algebraic geometry over a free semilattice”, Algebra Logika, 54:3 (2015), 399–420; Algebra and Logic, 54:3 (2015), 258–271
Citation in format AMSBIB
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    • This publication is cited in the following 5 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 :47
    References:44
    First page:15
     
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