A note on the primitivity of ring extensions

DOI10.1080/00927879508825491zbMath0835.16003OpenAlexW2068762725MaRDI QIDQ4852269

Jeffrey Bergen

Publication date: 8 April 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825491

zbMATH Keywords

free modulesprime ringsprimitive idealsring extensionsright primitive ringsfinite dimensional restricted Lie algebrasright Martindale quotient rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Centralizing and normalizing extensions (16S20)

Related Items (1)

X-inner automorphisms of semi-commutative quantum algebras

Cites Work

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• Smash products and outer derivations
• Constants of Lie algebra actions
• Automorphism groups of rings with no nilpotent elements
• Closed and prime ideals in free centred extensions
• Invariants of domains under the actions of restricted Lie algebras
• Group-Graded Rings, Smash Products, and Group Actions
• The Symmetric Ring Of Quotients Of A Primitive Ring is Primitive
• Automorphic-Differential Identities in Rings
• Outer Automorphisms of Semi-Prime Rings

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