The quotient category of a Morita context

DOI10.1016/0021-8693(74)90048-9zbMath0277.16019OpenAlexW1978795949MaRDI QIDQ1393463

Bruno J. Mueller

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90048-9

Mathematics Subject Classification ID

Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (47)

The affine scheme associated to a non-Noetherian prime PI algebra ⋮ Semisimple quotient rings and morita context ⋮ The Morita-Takeuchi Theory for Quotient Categories ⋮ Projectivity and duality in a Morita context ⋮ Isomorphisms of endomorphism rings of projective generators ⋮ On the torsion theories of Morita equivalent rings ⋮ Actions de groupes et contexts de morita ⋮ Modules over formal matrix rings. ⋮ Strongly prime endomorphism rings ⋮ The relative hermitian picard group ⋮ Morita contexts and equivalences ⋮ Rings of quotients of generalized matrix rings ⋮ Construction of Gorenstein-projective modules over Morita rings ⋮ Representation type of finite quiver Hecke algebras of type \(A_{2\ell}^{(2)}\). ⋮ Wide morita contexts ⋮ Simple \(\mathbb{Z} \)-graded domains of Gelfand-Kirillov dimension two ⋮ Contravariant finiteness and iterated strong tilting ⋮ The quotient category of a graded Morita-Takeuchi context. ⋮ Morita contexts and torsions of modules ⋮ Endomorphism rings and dual modules ⋮ Relative splitting properties with applications to endomorphism rings ⋮ On Artin algebras arising from Morita contexts. ⋮ Co-Frobenius corings and adjoint functors. ⋮ Equivalence and duality of quotient categories ⋮ Localization in a Morita context with applications to fixed rings ⋮ Morita equivalence for idempotent rings ⋮ Morita context functors ⋮ Morita equivalent quotient rings ⋮ Maximal quotient rings of generalized matrix rings ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Properties of Endomorphism Rings of Modules and Their Duals ⋮ Central closures and morita contexts^∗ ⋮ Homological dimension under change of rings ⋮ On Morita contexts in bicategories ⋮ Wide Morita contexts, relative injectivity and equivalence results. ⋮ On endomorphism rings of quasiprojective modules ⋮ Colocalization and localization ⋮ The completion of a morita context ⋮ Duality between colocalization and localization ⋮ Graded Version of Kato-Müller Theorem. Applications ⋮ Primary decompositions and morita contexts ⋮ Morita Theory for Comodules Over Corings ⋮ Endomorphism rings and category equivalences ⋮ Wide Morita contexts and equivalences of comodule categories ⋮ Morita equivalence based on contexts for various categories of modules over associative rings ⋮ Maximal Orders and Reflexive Modules ⋮ Semisimple rings of quotients in Morita contexts

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