Test elements, retracts and automorphic orbits.

DOI10.1016/j.jalgebra.2008.07.012zbMath1159.16018arXiv0807.1142OpenAlexW2964202298MaRDI QIDQ958071

Sheng-Jun Gong, Jie-Tai Yu

Publication date: 2 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1142

zbMATH Keywords

endomorphismspolynomial algebrasautomorphismsfree associative algebrastest elementscoordinatesautomorphic orbitsdegree estimatesretracts

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (8)

POLYNOMIAL ENDOMORPHISMS PRESERVING OUTER RANK IN TWO VARIABLES ⋮ Retracts that are kernels of locally nilpotent derivations ⋮ A class of retracts of polynomial algebras ⋮ FIXED ELEMENTS OF NONINJECTIVE ENDOMORPHISMS OF POLYNOMIAL ALGEBRAS IN TWO VARIABLES ⋮ \(\mathbb A^1\)-fibrations on affine threefolds ⋮ The Preimage of a Coordinate ⋮ Degree estimate for commutators. ⋮ Endomorphisms Preserving Coordinates of Polynomial Algebras

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