The one and half generator property in noetherian rings

DOI10.1080/00927878108822588zbMath0453.16003OpenAlexW2026680962MaRDI QIDQ3900199

Charudatta R. Hajarnavis, N. C. Norton

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822588

zbMATH Keywords

bounded Dedekind prime ringsbounded Noetherian prime ringsone and a half generator property

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) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (3)

Rings with Every Proper Image a Principal Ideal Ring ⋮ On non-commutative Noetherian local rings, non-commutative geometry and particle physics. ⋮ Associative rings

Cites Work

• Orders in Artinian rings
• Charakterisierung einer Klasse von Noetherschen Ringen
• Non-commutative Dedekind rings
• Modules over Dedekind prime rings
• Localisation in Asano orders
• PRI-RINGS AND IPRI-RINGS
• Asano Orders
• Local Rings Whose Maximal Ideal is Principal as a Right Ideal
• Non-Commutative Rings whose Homomorphic Images are Self-Injective

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