Algebras of infinite dominant dimension and torsion theories

DOI10.1080/00927879408825085zbMath0808.16007OpenAlexW2026380295MaRDI QIDQ4304196

Roberto Martínez-Villa

Publication date: 8 September 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408825085

zbMATH Keywords

dominant dimensiontorsion theoryalmost split sequenceabelian categoriesself-injectivefinitely generated \(K\)-algebra

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10)

Cites Work

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• \(k\)-Gorenstein algebras and syzygy modules
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• Stable equivalence of dualizing R-varieties
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• Modules of dominant and codominant dimension
• On a Generalized Version of the Nakayama Conjecture
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Representation Theory of Artin Algebras I
• A Torsion Theory for Abelian Categories

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