Subidealizer rings and the splitting properties

DOI10.1080/00927878508823276zbMath0574.16015OpenAlexW2066242833MaRDI QIDQ3693652

Mark L. Teply

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823276

zbMATH Keywords

splitting propertysingular submoduledirect summandessential right idealsubidealizer rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Localization and associative Noetherian rings (16P50)

Related Items (2)

Strongly graded rings with the bounded splitting property ⋮ Forcing linearity numbers for modules over simple domains.

Cites Work

• Unnamed Item
• Subrings of idealizer rings
• Semiprime rings with the singular splitting property
• The singular submodule splits off
• Homological dimension and splitting torsion theories
• Idealizers and hereditary Noetherian prime rings
• Piecewise domains
• Idealizers and nonsingular rings
• Localization and splitting in hereditary noetherian prime rings
• Ideals in prime singular splitting rings
• Homological properties of the ring of differential polynomials
• On regular self-injective rings

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