Bounded Algebraic Geometry over a Free Lie Algebra
Algebra i logika, Tome 44 (2005) no. 3, pp. 269-304

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

Bounded algebraic sets over a free Lie algebra $F$ over a field $k$ are classified in three equivalent languages: (1) in terms of algebraic sets; (2) in terms of radicals of algebraic sets; (3) in terms of coordinate algebras of algebraic sets.
Keywords: arithmetic hierarchy, Rogers semilattice, elementary theory.
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     title = {Bounded {Algebraic} {Geometry} over {a~Free} {Lie~Algebra}},
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E. Yu. Daniyarova; V. N. Remeslennikov. Bounded Algebraic Geometry over a Free Lie Algebra. Algebra i logika, Tome 44 (2005) no. 3, pp. 269-304. http://geodesic.mathdoc.fr/item/AL_2005_44_3_a1/