Bounds on global and finitistic dimension for finite dimensional algebras with vanishing radical cube

DOI10.1006/jabr.1993.1205zbMath0808.16009OpenAlexW1963771047MaRDI QIDQ1320247

Birge Zimmermann Huisgen

Publication date: 16 March 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1205

zbMATH Keywords

finite dimensional algebrasglobal dimensionleft Artinian ringsfinitistic dimensionprojective dimensionsfinitely generated left modulessimple left modulesvanishing radical cube

Mathematics Subject Classification ID

Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

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A model structure approach to the finitistic dimension conjectures, Homological domino effects and the first finitistic dimension conjecture, Algebras with Large Homological Dimensions, Finitistic dimension of Artinian rings with vanishing radical cube, Field-dependent homological behavior of finite dimensional algebras