Polynomials in topological algebras
Milan Sekanina (1971)
Czechoslovak Mathematical Journal
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Milan Sekanina (1971)
Czechoslovak Mathematical Journal
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Alexandru Dimca (1990)
Compositio Mathematica
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A. Iarrobino, J. Emsalem (1978)
Compositio Mathematica
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László Fehér, Richárd Rimányi (2003)
Open Mathematics
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The theory of Schur and Schubert polynomials is revisited in this paper from the point of view of generalized Thom polynomials. When we apply a general method to compute Thom polynomials for this case we obtain a new definition for (double versions of) Schur and Schubert polynomials: they will be solutions of interpolation problems.
Janusz Zieliński, Piotr Ossowski (2013)
Czechoslovak Mathematical Journal
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We show that the rings of constants of generic four-variable Lotka-Volterra derivations are finitely generated polynomial rings. We explicitly determine these rings, and we give a description of all polynomial first integrals of their corresponding systems of differential equations. Besides, we characterize cofactors of Darboux polynomials of arbitrary four-variable Lotka-Volterra systems. These cofactors are linear forms with coefficients in the set of nonnegative integers. Lotka-Volterra...