The pure-projective dimension of torsion-free divisible modules

DOI10.1080/00927878408823020zbMath0532.16019OpenAlexW1983537215MaRDI QIDQ3314014

Helmut Lenzing

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823020

zbMATH Keywords

pure global dimensionKronecker algebrapure-projective dimensiontame hereditary algebrafinite dimensional regular moduletorsion-free divisible modules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10) Representation theory of associative rings and algebras (16Gxx)

Related Items (4)

The preprojective algebra of a tame hereditary artin algebra ⋮ Commutative algebras of rational function matrices as endomorphisms of Kronecker modules. II. ⋮ On the abelianization of derived categories and a negative solution to Rosický’s problem ⋮ Direct sums and direct products of finite-dimensional modules over path algebras

Cites Work

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• Homological dimension and representation type of algebras under base field extension
• Projective dimension of nice directed unions
• Homological dimension and stationary sets
• A homological approach to representations of algebras. II: Tame hereditary algebras
• Algebraic compactness of reduced products and applications to pure global dimension
• Representation Theory of Artin Algebras II
• The Homological Dimension of a Quotient Field

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