Algebraic compactness of reduced products and applications to pure global dimension

DOI10.1080/00927878308822850zbMath0503.16027OpenAlexW2072957262MaRDI QIDQ3969091

Christian U. Jensen, Helmut Lenzing

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822850

zbMATH Keywords

flat modulesKrull dimensionpreprojective modulespure global dimensionalgebraic compact moduleshereditary Kronecker algebrareduced products of modules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Representation theory of associative rings and algebras (16Gxx)

Related Items

Separable modules over finite-dimensional algebras ⋮ The pure-projective dimension of torsion-free divisible modules ⋮ Direct sums and direct products of finite-dimensional modules over path algebras ⋮ Algebraic compactness of reduced powers over commutative perfect rings ⋮ \(\alpha\)-compactness of reduced products and filter quotients ⋮ Applications of linear functionals to Kronecker modules. I

Cites Work

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• On the free product of associative rings
• On the global dimension of the functor category (mod R, Ab)