Bounded Algebraic Geometry over a Free Lie Algebra |
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Authors: | E Yu Daniyarova V N Remeslennikov |
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Institution: | (1) Omsk Branch, Institute of Mathematics SB RAS, Pevtsova 13, Omsk, 644099, Russia |
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Abstract: | 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.Supported by RFBR grant No. 02-01-00192a.__________Translated from Algebra i Logika, Vol. 44, No. 3, pp. 269–304, May–June, 2005. |
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Keywords: | free Lie algebra algebraic geometry bounded algebraic set coordinate algebra |
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