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Algebraic compactness of ultrapowers and representation type

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Publication:1100254
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DOI10.2140/pjm.1989.139.251zbMath0639.16007OpenAlexW1996227087MaRDI QIDQ1100254

Christian U. Jensen, Birge Zimmermann Huisgen

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102649859

zbMATH Keywords

Artin algebrasinfinite representation typegroup algebras of finite groupsalgebraically compactcountable ultrapowerscountable ultraproducts of modules


Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Group rings (16S34) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Artinian rings and modules (associative rings and algebras) (16P20) Ultraproducts and related constructions (03C20) Representation theory of associative rings and algebras (16Gxx)


Related Items

Mittag-Leffler modules, reduced products, and direct products, α-LIMITS OF ALGEBRAS, On Embedding Rings in Clean Rings, Algebraic compactness of reduced powers over commutative perfect rings, Characterizations of Chain Conditions on Finite Matrix Subgroups, \(\alpha\)-compactness of reduced products and filter quotients



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