Poisson brackets and two-generated subalgebras of rings of polynomials
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Publication:4441814
DOI10.1090/S0894-0347-03-00438-7zbMath1044.17014OpenAlexW1678068357MaRDI QIDQ4441814
Ualbei Utmakhanbetovich Umirbaev, Ivan Pavlovic Shestakov
Publication date: 7 January 2004
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0894-0347-03-00438-7
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
- Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras
- Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence
- On relations between Jacobians and minimal polynomials
- Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- Centralizers in Free Associative Algebras
- Über ganze birationale Transformationen der Ebene.
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