CLOSED SUBMODULES OF NORMALIZING BIMODULES OVER SEMIPRIME RINGS

DOI10.1081/AGB-100002116zbMath0990.16002MaRDI QIDQ2752383

Miguel Ferrero

Publication date: 28 April 2002

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

zbMATH Keywords

direct summandssemiprime ringsextended centroidsclosed idealsMartindale rings of quotientsnormalizing extensionsclosed subbimodulesnormalizing bimodules

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Bimodules in associative algebras (16D20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Centralizing and normalizing extensions (16S20)

Related Items

Partial actions and Galois theory ⋮ Hulls of semiprime rings with applications to \(C^*\)-algebras.

Cites Work

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• Normalizing extensions: Prime ideals and incomparability
• Prime ideals in normalizing extensions
• Normalizing extensions: Nilpotency
• Centred bimodules over prime rings: Closed submodules and applications to ring extensions
• Prime ideals and radicals of centred extensions and tensor products
• Semisimplicity of Free Centred Extensions