Derivations With Invertible Values on a Multilinear Polynomial

DOI10.2307/2159968zbMath0799.16030OpenAlexW4256335123MaRDI QIDQ4292209

Tsiu-Kwen Lee

Publication date: 23 November 1994

Full work available at URL: https://doi.org/10.2307/2159968

zbMATH Keywords

unitsfree algebrainner derivationmultilinear polynomialsemiprime algebrainvertible values

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Centralizers of generalized skew derivations on multilinear polynomials, Posner's second theorem, multilinear polynomials and vanishing derivations, Annihilators and centralizers of generalized skew derivations on multilinear polynomials, A note on generalized skew derivations on multilinear polynomials, On X-generalized skew derivations and their applications, Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings, Jordan Product Preserving Generalized Skew Derivations on Lie Ideals, Generalized skew derivations with centralizer conditions on multilinear polynomials, A quadratic differential identity with generalized derivations on multilinear polynomials in prime rings., Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings, A quadratic differential identity with skew derivations, Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings, Identities with generalized derivations on multilinear polynomials in prime rings, Generalized skew derivations cocentralizing multilinear polynomials, Right ideals generated by an idempotent of finite rank., \(m\)-potent commutators involving skew derivations and multilinear polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On invariant additive subgroups
• The additive subgroup generated by a polynomial
• Lie ideals and derivations of prime rings
• Prime rings satisfying a generalized polynomial identity
• Derivations with Invertible Values
• Derivations with Invertible Values on a Lie Ideal
• Nil and Power-Central Polynomials in Rings
• On a theorem of H. Cartan