Identities, Ore extensions and character skew derivations.

DOI10.1016/j.jalgebra.2015.06.013zbMath1322.16014OpenAlexW801100127MaRDI QIDQ2515634

Chen-Lian Chuang

Publication date: 5 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.06.013

zbMATH Keywords

identitiesskew polynomial ringsautomorphismsprime rings\(q\)-skew derivationsOre extensionscharacter skew derivations

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) 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 (2)

Nonlinear identities with skew derivations ⋮ Bases for skew derivations

Cites Work

• Identities with a single skew derivation.
• Differential identities with automorphisms and antiautomorphisms. II
• Differential identities of prime rings
• Fixed rings of finite automorphism groups of associative rings
• Differential identities of semiprime rings
• The extended centroid and \(X\)-inner automorphisms of Ore extensions
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Generalized identities with automorphisms
• An existence condition for multilinear quantum operations
• Algebraic \(q\)-skew derivations.
• Identities with skew derivations
• Prime rings satisfying a generalized polynomial identity
• ON DERIVATIONALLY PRIME RINGS
• Skew derivations of prime rings
• Automorphic-differential identities and actions of pointed coalgebras on rings
• Skew primitive elements in Hopf algebras and related identities
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