Localization in a Morita context with applications to fixed rings

DOI10.1016/0021-8693(91)90270-IzbMath0736.16011MaRDI QIDQ1178896

Jay Shapiro, Philippe Loustaunau

Publication date: 26 June 1992

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

zbMATH Keywords

idempotentfixed ringssecond layer conditionMorita equivalentright Noetherian ringfinite group of automorphismslinks between prime idealsclassical semiprime idealfinite classical set

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Ideals in associative algebras (16D25) Localization and associative Noetherian rings (16P50)

Related Items (5)

Modules over formal matrix rings. ⋮ Construction of Gorenstein-projective modules over Morita rings ⋮ On Artin algebras arising from Morita contexts. ⋮ Homological Dimensions in a Morita Context with Applications to Subidealizers and Fixed Rings ⋮ Hopficity and co-hopficity for morita contexts

Cites Work

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• It's essentially Maschke's theorem
• Localization and ideal theory in Noetherian strongly group-graded rings
• Prime ideals in crossed products of finite groups
• Fixed rings of finite automorphism groups of associative rings
• A Morita context related to finite automorphism groups of rings
• The quotient category of a Morita context
• Rings of quotients and Morita contexts
• Prime ideals in finite extensions of Noetherian rings
• Localization and right krull links
• Linked Injectives and Ore Localizations
• Solvable lie algebras polycyclic-by-finite groups and bimodule krull dimension

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