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Elements of Algebraic Geometry Over a Free Semilattice

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Algebra and Logic Aims and scope

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.

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Authors and Affiliations

  1. Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia

    A. N. Shevlyakov

  2. Omsk State Technical University, pr. Mira 11, Omsk, 644050, Russia

    A. N. Shevlyakov

Authors
  1. A. N. Shevlyakov
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Correspondence to A. N. Shevlyakov.

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Translated from Algebra i Logika, Vol. 54, No. 3, pp. 399-420, May-June, 2015.

∗The work is supported by Russian Science Foundation (project 14-11-00085) and by RFBR (project No. 14-01-00068).

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Shevlyakov, A.N. Elements of Algebraic Geometry Over a Free Semilattice. Algebra Logic 54, 258–271 (2015). https://doi.org/10.1007/s10469-015-9345-6

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  • DOI: https://doi.org/10.1007/s10469-015-9345-6

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