The extended centroid and \(X\)-inner automorphisms of Ore extensions

DOI10.1016/0021-8693(92)90182-LzbMath0748.16011MaRDI QIDQ1183288

André Leroy, Jerzy Matczuk

Publication date: 28 June 1992

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

zbMATH Keywords

centerextended centroidprime ringOre extensionsymmetric Martindale ring of quotientsX-inner automorphisms

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

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How far can we go with Amitsur's theorem in differential polynomial rings?, Examples of Ore extensions which are maximal orders whose based rings are not maximal orders, Some remarks on ore extension rings, Ore extensions over total valuation rings., Minimal polynomials of algebraic derivations and automorphisms., Simplicity of Ore monoid rings, Algebraic skew derivations., The extended center of a skew power series ring, Minimal quasi-algebraic relations of skew derivations in characteristic \(p\geq 2\), Ore extensions which are GPI-rings., The kernel and range inclusions of integral derivations in semiprime rings., Higher derivations of Ore extensions by \(q\)-skew derivations., Symmetric Utumi quotient rings of Ore extensions by skew derivations, Identities with a single skew derivation., Higher derivations of Ore extensions., Identities, Ore extensions and character skew derivations., X-inner automorphisms of semi-commutative quantum algebras, The images of polynomials of derivations, Automorphisms of ore extensions by skew derivations, ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY, Smash products and differential identities, Ore Extensions of Ore Domains, Invariant polynomials of Ore extensions by $q$-skew derivations, On the structure of semi-invariant polynomials in Ore extensions., Jacobson Radicals of Ore Extensions of Derivation Type, The martindale ring of quotients of a skew polynomial ring of automorphism type

Cites Work

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• X-Inner Automorphisms of Filtered Algebras
• The Extended Center of Coproducts
• Sur les anneaux simples différentiels
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