Homological Dimensions in a Morita Context with Applications to Subidealizers and Fixed Rings

DOI10.2307/2047900zbMath0707.16001OpenAlexW4243357596MaRDI QIDQ3488302

Philippe Loustaunau, Jay Shapiro

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047900

zbMATH Keywords

global dimensionfixed ringshomological dimensionsprojectiveflatMorita contextweak dimensionssubidealizers

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Homological dimension in associative algebras (16E10)

Related Items (7)

Observations on crossed products and invariants of Hopf algebras ⋮ Modules over formal matrix rings. ⋮ Homological theory of recollements of abelian categories ⋮ Construction of Gorenstein-projective modules over Morita rings ⋮ On Artin algebras arising from Morita contexts. ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ Homological aspects of formal triangular matrix rings

Cites Work

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• A Morita context related to finite automorphism groups of rings
• Localization in a Morita context with applications to fixed rings
• Subrings of idealizer rings
• Global dimensions of a class of tiled orders
• On the Global Dimension of Fixed Rings
• Another Change of Rings Theorem
• When is the ring a projective module over the fixed point ring?
• Ringerweiterung und lokalisation

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