Right Noetherian rings integral over their centers

DOI10.1016/0021-8693(73)90173-7zbMath0268.16013OpenAlexW1968848986MaRDI QIDQ758530

William D. Blair

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90173-7

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Localization and associative Noetherian rings (16P50)

Related Items (23)

Polynomial rings over rings integral over their centres ⋮ Rings of finite global dimension integral over their centres ⋮ Modules with Artinian Prime Factors ⋮ Injectively homogeneous rings ⋮ Right noetherian rings integral over their centers ⋮ Semi-hereditary orders in a simple artinian ring ⋮ Prime ideals in PI-rings ⋮ Derived equivalences for a class of PI algebras ⋮ The Cohen Macaulay property for noncommutative rings ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ Stable torsion radicals over FBN rings ⋮ Complements a mon article “anneaux de fractions classiques dans les ordres maximaux” ⋮ Anneaux semi-premiers, noethériens, à identités polynômiales ⋮ Associative rings ⋮ Rings with a Bounded Number of Generators for Right Ideals ⋮ "Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre" ⋮ Quotient Rings of Noetherian Module Finite Rings ⋮ Embeddings in Artinian rings and Sylvester rank functions ⋮ Un theoreme de l'ideal principal dans les r-Ordres ⋮ Solution of an open problem on cofaithful one-sided ideals ⋮ Finite Extensions of Rings ⋮ Maximal orders in an azumaya algebra over a von neumann regular ring ⋮ Hereditary rings integral over their centers

Cites Work

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• Orders in Artinian rings
• On some questions in Noetherian rings
• The embedding problem for Noetherian rings
• Anneaux noetheriens à gauche complément primaires et anneaux co-irréductibles.
• Lifting Ideals in Noncommutative Integral Extensions
• A Remark about Noncommutative Integral Extensions
• A Note on Non-Commutative Noetherian Rings
• On the Group Ring

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