On the existence of modules which are neither preprojectives nor preinjectives

DOI10.1006/JABR.1994.1237zbMath0820.16007OpenAlexW1972539805MaRDI QIDQ1335077

Raymundo Bautista, Flávio Ulhoa Coelho

Publication date: 27 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1237

zbMATH Keywords

finite dimensional algebrasfinite representation typeArtin algebraspreinjective modulespreprojective partitionpreinjective partitioncategory of finitely generated left \(A\)-modulesindecomposable \(A\)- modulessecond Brauer-Thrall conjecture

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) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10)

Related Items (2)

Artin algebras with only preprojective or preinjective modules are of finite type ⋮ On preprojective and preinjective partitions of a \(\Delta\)-good module category.

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