Localisation in hereditary rings

DOI10.1016/0021-8693(72)90105-6zbMath0241.16002OpenAlexW2004909619MaRDI QIDQ2553656

Stephen M. Ginn, A. W. Chatters

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90105-6

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Noncommutative local and semilocal rings, perfect rings (16L30) Localization and associative Noetherian rings (16P50)

Related Items (21)

On the De Morgan's laws for modules ⋮ One sided invertibility and localisation ⋮ Reduced rank in Noetherian rings ⋮ Restricted balanced rings. II ⋮ Inversive localization at semiprime Goldie ideals ⋮ On non-commutative Noetherian local rings, non-commutative geometry and particle physics. ⋮ New examples of maximal orders ⋮ Lifting maximal orders ⋮ Relative krull dimension and prime ideals in right noetherian rings: an addendum ⋮ Krull dimension and invertible ideals in Noetherian rings ⋮ Associative rings ⋮ Une note sur les anneaux noetheriens à droite avec assez d'ideaux bilateres ⋮ Localisations of non prime e-vh-orders ⋮ Maximal orders and localization. I ⋮ Birational hereditary noetherian prime rings ⋮ Near-dedekind rings ⋮ Localisation in Asano orders ⋮ Solvable lie algebras polycyclic-by-finite groups and bimodule krull dimension ⋮ Reflexive Primes, Localization and Primary Decomposition in Maximal Orders ⋮ Noetherian rings with projective jacobson radical ⋮ Localisations dans les ordres maximaux

Cites Work

• Localization in non-commutative Noetherian rings
• Lifting Projectives
• Semihereditary rings
• Localisation in Enveloping Rings
• Asano Orders
• Localisation in PI -Rings
• The Restricted Minimum Condition in Noetherian Hereditary Rings

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