Generalized hereditary Noetherian prime rings

DOI10.1142/S0219498818501530zbMath1414.16008OpenAlexW2739985513MaRDI QIDQ3177318

Hidetoshi Marubayashi, Akira Ueda, Evrim Akalan

Publication date: 31 July 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501530

zbMATH Keywords

global dimensionprojective idealidealizerideal theoryhereditary Noetherian prime ringgeneralized hereditary prime ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (4)

Positively graded rings which are maximal orders and generalized Dedekind prime rings ⋮ Strongly graded rings over hereditary Noetherian prime rings ⋮ Strongly graded rings which are generalized Dedekind rings ⋮ Idealizers in Differential Polynomial Rings and Generalized HNP Rings

Cites Work

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• Prime divisors and noncommutative valuation theory.
• Simple modules over hereditary Noetherian prime rings
• Anneaux de Krull non commutatifs
• Non-commutative valuation rings and semi-hereditary orders
• Hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• Multiplicative Ideal Theory in Noncommutative Rings
• Non commutative unique factorization rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• A krull type generalization of knp rings with enough Invertible ideals
• A skew polynomial ring over a v-hc order with enough V-inveriible ideals
• On the rings of the morita context which are some well-known orders
• Projective ideals of skew polynomial rings over HNP rings

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