ON SMALL RIGHT PURE SEMISIMPLE RINGS AND THE STRUCTURE OF THEIR AUSLANDER-REITEN QUIVER

DOI10.1081/AGB-100105002zbMath0997.16004OpenAlexW4241977467MaRDI QIDQ2747125

Daniel Simson

Publication date: 13 August 2002

Full work available at URL: https://doi.org/10.1081/agb-100105002

zbMATH Keywords

Auslander-Reiten quiversfinite representation typepure-injective modulessemiperfect ringsright pure semisimple ringspure semisimplicity conjecturedivision ring extensions

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Infinite-dimensional and general division rings (16K40) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (2)

Preinjective modules over pure semisimple rings. ⋮ The Gabriel-Roiter measure for right pure semisimple rings.

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