Some combinatorial questions about polynomial mappings
From MaRDI portal
Publication:1358937
DOI10.1016/S0022-4049(96)00043-6zbMath0899.13009MaRDI QIDQ1358937
Vladimir Shpilrain, A. R. P. van den Essen
Publication date: 10 November 1998
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Morphisms of commutative rings (13B10) Automorphisms of curves (14H37)
Related Items
Affine varieties with equivalent cylinders ⋮ POLYNOMIAL ENDOMORPHISMS PRESERVING OUTER RANK IN TWO VARIABLES ⋮ Irreducibility Properties of Keller Maps ⋮ An approach to the Jacobian conjecture in terms of irreducibility and square-freeness ⋮ The Linear Coordinate Preserving Problem ⋮ Endomorphisms of free solvable groups preserving primitivity of systems of elements. ⋮ A characterization of Keller maps ⋮ New classes of test polynomials of polynomial algebras ⋮ Automorphic orbit problem for polynomial algebras ⋮ Test elements, retracts and automorphic orbits. ⋮ A solution of the problem of van den Essen and Shpilrain. II ⋮ Automorphic orbits in free non-associative algebras ⋮ Test polynomials for automorphisms of polynomial and free associative algebras ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Orbits and Test Elements in Free Leibniz Algebras of Rank Two ⋮ A solution of the problem of van den Essen and Shpilrain ⋮ Endomorphisms Preserving Coordinates of Polynomial Algebras
Cites Work
- Recognizing automorphisms of the free groups
- Injective Morphisms of Real Algebraic Varieties
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- A Commutator Test for Two Elements to Generate the Free Algebra of Rank Two
- On Generators of L/R 2 Lie Algebras
- Automorphisms and primitive elements of free lie superalgebras
- Unnamed Item
- Unnamed Item
