Tilting up algebras of small homological dimensions

Autor:	Dieter Happel, Flávio U. Coelho, Luise Unger
Rok vydání:	2002
Předmět:	Algebra Pure mathematics Algebra and Number Theory Hausdorff dimension Bijection Torsion (algebra) Dimension function Complex dimension Indecomposable module Injective function Global dimension Mathematics
Zdroj:	Journal of Pure and Applied Algebra. 174:219-241
ISSN:	0022-4049
DOI:	10.1016/s0022-4049(02)00050-6
Popis:	We consider algebras Λ which satisfy the property that for each indecomposable module Λ X , either its projective dimension pd Λ X is at most one or its injective dimension id Λ X is at most one and that the global dimension gl dim Λ is three. We will show that this class is in bijective correspondence with a class of algebras of global dimension two admitting a special tilting torsion pair.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf89e3acdb91e3160fbd024c4e9a7e98 https://doi.org/10.1016/s0022-4049(02)00050-6 Zobrazit plný text záznamu Full Text from ScienceDirect