Test polynomials for automorphisms of polynomial and free associative algebras

DOI10.1006/jabr.1998.7483zbMath0967.16020OpenAlexW2077912329MaRDI QIDQ1270044

Jie-Tai Yu, Vesselin Drensky

Publication date: 16 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7483

zbMATH Keywords

endomorphismspolynomial algebrasautomorphismsfree associative algebrastest polynomialstest vector spaces

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20)

Related Items

POLYNOMIAL ENDOMORPHISMS PRESERVING OUTER RANK IN TWO VARIABLES ⋮ AUTOMORPHIC EQUIVALENCE PROBLEM FOR FREE ASSOCIATIVE ALGEBRAS OF RANK TWO ⋮ Automorphic orbit problem for polynomial algebras ⋮ Test elements, retracts and automorphic orbits. ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property

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