Constants of Algebraic Derivations in Prime Rings

DOI10.1080/00927870802107918zbMath1155.16027OpenAlexW2103174477WikidataQ57788061 ScholiaQ57788061MaRDI QIDQ3529067

Chen-Lian Chuang, Tsiu-Kwen Lee, Yiqiang Zhou

Publication date: 20 October 2008

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183192/1/14.pdf

zbMATH Keywords

semiprime ringsprime ringsalgebraic derivationsPI-degrees

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Finite-dimensional division rings (16K20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (4)

Invariants of algebraic automorphisms. ⋮ The double centralizer theorem for semiprime algebras. ⋮ Invariants of algebraic derivations and automorphisms in Banach algebras ⋮ Prime radicals of constants of algebraic derivations.

Cites Work

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• Algebraic derivations with constants satisfying a polynomial identity.
• Skew derivations whose invariants satisfy a polynomial identity
• Ore extensions which are GPI-rings.
• Prime rings satisfying a generalized polynomial identity
• Derivations and Skew Polynomial Rings

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