On right pure semisimple hereditary rings and an Artin problem

DOI10.1016/0022-4049(94)00068-XzbMath0848.16013OpenAlexW2053449006MaRDI QIDQ1909731

Daniel Simson

Publication date: 24 October 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00068-x

zbMATH Keywords

indecomposable modulesfinite representation typehereditary ringsright pure semisimple ringspure semisimplicity conjecturegeneralized Artin problem for division rings

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Infinite-dimensional and general division rings (16K40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

Preinjective modules and finite representation type of artinian rings, DIRECT SUM DECOMPOSITION OF THE PRODUCT OF PREINJECTIVE MODULES OVER RIGHT PURE SEMISIMPLE HEREDITARY RINGS, Endofinite modules and pure semisimple rings., Small potential counterexamples to the pure semisimplicity conjecture, An Artin problem for division ring extensions and the pure semisimplicity conjecture. I, Indecomposable modules over pure semisimple hereditary rings., Copure semisimple categories and almost split maps., On \(\lambda\)-pure acyclic complexes in a Grothendieck category, Preinjective modules over pure semisimple rings., On the endofiniteness of a key module over pure semisimple rings, Splitting torsion pairs over pure semisimple rings., Strong preinjective partitions and almost split morphisms, Additive categories of locally finite representation type, Infinite dimensional serial algebras and their representations, Pure semisimple \(n\)-cluster tilting subcategories, Tilting cotorsion pairs and pure semisimple rings, The Gabriel-Roiter measure for right pure semisimple rings., An Artin problem for division ring extensions and the pure semisimplicity conjecture. II, Coxeter Diagrams and the Köthe’s Problem

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