Noetherian rings of injective dimension one which are orders in quasi-Frobenius rings.

DOI10.1016/S0021-8693(03)00461-7zbMath1039.16019OpenAlexW1989330339WikidataQ122234253 ScholiaQ122234253MaRDI QIDQ1419011

A. W. Chatters, Charudatta R. Hajarnavis

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00461-7

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Multiple idealiser rings of injective dimension one. ⋮ Idealiser Rings of Injective Dimension One

Cites Work

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• On rings with self-injective dimension \(\leq 1\)
• Hereditary Noetherian prime rings. I: Integrality and simple modules
• Hereditary Noetherian prime rings. II: Finitely generated projective modules
• The maximal orders which contain a given idealiser ring
• Hereditary Noetherian rings
• Hereditary Noetherian prime rings. III: Infinitely generated projective modules
• Hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• PROJECTIVE PRIME IDEALS AND LOCALISATION IN PI-RINGS
• Beiträge zur Theorie nichthalbeinfacher Ringe mit Minimalbedingungen.
• Near-dedekind rings
• Injective Dimension in Noetherian Rings
• Bounded Asano Orders are Hereditary

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