Reflexive ideals and injective modules over Noetherian v-H orders

DOI10.1017/S0013091500004983zbMath0691.16018OpenAlexW2020259145WikidataQ114117519 ScholiaQ114117519MaRDI QIDQ3032424

Kenneth A. Brown, Thomas H. Lenagan, Ahmad Haghany

Publication date: 1991

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500004983

zbMATH Keywords

indecomposable injective moduleshereditary Noetherian prime ringsreflexive prime idealNoetherian prime ringsassassinatorheight one primesprime Noetherian v-H orders

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Unnamed Item
• The influence of ideal structure on representation theory
• Simple modules over hereditary Noetherian prime rings
• Anneaux de Krull non commutatifs
• Krull dimensions of the enveloping algebra of sl(2,C)
• Injective modules over a Krull domain
• A krull type generalization of knp rings with enough Invertible ideals
• Modules of t-Finite Vectors Over Semi-Simple Lie Algebras
• Homological properties of the enveloping algebra U(Sl₂)
• Injective Moduls over Krull Orders.

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