Geodesic
Elements of algebraic geometry over a free semilattice
Algebra i logika, Tome 54 (2015) no. 3, pp. 399-420

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{AL_2015_54_3_a5,
     author = {A. N. Shevlyakov},
     title = {Elements of algebraic geometry over a~free semilattice},
     journal = {Algebra i logika},
     pages = {399--420},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2015_54_3_a5/}
}
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A. N. Shevlyakov. Elements of algebraic geometry over a free semilattice. Algebra i logika, Tome 54 (2015) no. 3, pp. 399-420. http://geodesic.mathdoc.fr/item/AL_2015_54_3_a5/