Duality and Pure-Semisimple Rings

DOI10.1112/jlms/s2-38.3.403zbMath0674.16019OpenAlexW2576343469MaRDI QIDQ3828162

M. Y. Prest

Publication date: 1988

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-38.3.403

zbMATH Keywords

dualitylengthfinite representation typeright pure semisimple ringsdirect sum of finitely generated modulesfinitely generated indecomposable left R- modulesfinitely generated pp-types

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (18)

Unnamed Item ⋮ Endofinite modules and pure semisimple rings. ⋮ Indecomposable modules over pure semisimple hereditary rings. ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ Copure semisimple categories and almost split maps. ⋮ Duality and contravariant functors in the representation theory of artin algebras ⋮ Endoproperties of modules and local duality. ⋮ Remarks on elementary duality ⋮ The defect recollement, the MacPherson-Vilonen construction, and pp formulas ⋮ Strong preinjective partitions and almost split morphisms ⋮ Strong Preinjective Partitions and Representation Type of Artinian Rings ⋮ Definable additive categories: purity and model theory ⋮ Rings whose modules are direct sums of extending modules ⋮ On modules with the Kulikov property and pure semisimple modules and rings ⋮ The Gabriel-Roiter measure for right pure semisimple rings. ⋮ Modules as exact functors ⋮ Two criteria for locally Noetherian Grothendieck categories ⋮ Direct sums of representations as modules over their endomorphism rings

This page was built for publication: Duality and Pure-Semisimple Rings