Hereditary rings integral over their centers

DOI10.1016/0021-8693(86)90130-4zbMath0587.16003OpenAlexW2041477515MaRDI QIDQ1072620

James J. Kuzmanovich, Ellen E. Kirkman

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90130-4

zbMATH Keywords

centreright hereditary ringdirect sum of left and right Noetherian hereditary prime ringsprime right hereditary integral over its centre

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40) Centralizing and normalizing extensions (16S20)

Related Items (1)

On prime ideals in hereditary PI-rings

Cites Work

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• Right Noetherian rings integral over their centers
• Hereditary orders with infinitely many idempotent ideals
• Hereditary finitely generated P.I. algebras
• Anneaux de groupe hereditaires et semi-hereditaires
• Piecewise domains
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Constructions of Hereditary Noetherian Rings and Simple Rings
• Some examples op rings
• The Structure of Semiprimary and Noetherian Hereditary Rings
• The Centre of a Right Hereditary Ring
• Hereditary Prime P.I. Rings are Classical Hereditary Orders†
• Semihereditary rings
• Modules over commutative regular rings
• The Centres of 2-Firs and Hereditary Rings
• Lifting Ideals in Noncommutative Integral Extensions
• A Note on the Global Dimension of Subrings
• Hereditary Commutative Rings and Centres of Hereditary Rings

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