Identities with skew derivations
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Publication:1975152
DOI10.1006/jabr.1999.8052zbMath0952.16025OpenAlexW2016053219MaRDI QIDQ1975152
Publication date: 9 January 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1999.8052
automorphismsdifferential polynomialshigher derivationsdifferential identitiesgeneralized polynomial identitiesadditive endomorphismsskew derivations of prime ringstrivial identities
Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)
Related Items
Certain functional identities involving a pair of generalized skew derivations with nilpotent values on Lie ideals ⋮ On Posner’s theorem with b-generalized skew derivations on Lie ideals ⋮ \(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ b′-Generalized skew derivations acting as a Jordan derivation on multilinear polynomials in prime rings ⋮ Nonlinear identities with skew derivations ⋮ Identities with generalized skew derivations on Lie ideals. ⋮ Annihilators and centralizers of generalized skew derivations on multilinear polynomials ⋮ Annihilator conditions with generalized skew derivations and Lie ideals of prime rings ⋮ Primitive identities of skew derivations. ⋮ Jordan Product Preserving Generalized Skew Derivations on Lie Ideals ⋮ Annihilating and co-commuting conditions with generalized skew derivations ⋮ Generalized skew-derivations acting on multilinear polynomial in prime rings ⋮ Generalized Skew Derivations and g-Lie Derivations of Prime Rings ⋮ Minimal quasi-algebraic relations of skew derivations in characteristic \(p\geq 2\) ⋮ A quadratic differential identity with skew derivations ⋮ Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Product of generalized skew derivations on Lie ideals ⋮ Identities with Product of Generalized Skew Derivations on Multilinear Polynomials ⋮ Engel-Type Conditions Involving Two Generalized Skew Derivations in Prime Rings ⋮ Identities with a single skew derivation. ⋮ Generalized skew derivations cocentralizing multilinear polynomials ⋮ Identities, Ore extensions and character skew derivations. ⋮ Automorphisms and generalized skew derivations which are strong commutativity preserving on polynomials in prime and semiprime rings ⋮ Bases for skew derivations
Cites Work
- Differential identities of prime rings
- Differential identities of semiprime rings
- Differential identities with automorphisms and antiautomorphisms. I
- Prime rings satisfying a generalized polynomial identity
- ∗-Differential Identities of Prime Rings with Involution
- Skew derivations of prime rings
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