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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
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
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
Linking options:
https://www.mathnet.ru/eng/al700 https://www.mathnet.ru/eng/al/v54/i3/p399
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Abstract page: | 278 | Full-text PDF : | 46 | References: | 43 | First page: | 15 |
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