PRIMITIVE ELEMENTS OF FREE METABELIAN ALGEBRAS OF RANK TWO

DOI10.1142/S021819670300133XzbMath1056.16021OpenAlexW2008931164MaRDI QIDQ3043626

Jie-Tai Yu, Vesselin Drensky

Publication date: 6 August 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819670300133x

zbMATH Keywords

embedding problempolynomial algebrasautomorphismsrelatively free algebrasfree metabelian algebrasprimitivity problemstable primitivity problem

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) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

ON ISOMORPHISM OF LIE ALGEBRAS WITH ONE DEFINING RELATION ⋮ The Preimage of a Coordinate

Cites Work

• Unnamed Item
• Algebraically closed skew fields
• Affine varieties with equivalent cylinders
• Orbits in free algebras of rank two
• Two dimensional coordinate polynomials and dominant maps

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