On a class of balanced non-uniserial rings

DOI10.1007/BF01423614zbMath0216.06704OpenAlexW1990743731WikidataQ105658016 ScholiaQ105658016MaRDI QIDQ2545919

Claus Michael Ringel, Vlastimil Dlab

Publication date: 1972

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162231

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (13)

Finitely additive, modular, and probability functions on pre-Semirings ⋮ Balanced local rings with commutative residue fields ⋮ Restricted balanced rings ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ A note on ADS* modules ⋮ Regular semi-Artinian rings. ⋮ On algebras of finite representation type ⋮ Connections between representation-finite and Köthe rings ⋮ Decomposition of modules over right uniserial rings ⋮ Rings with the double centralizer property ⋮ Morita's F\(_h\)-condition and double centralizers. II ⋮ Distributive rings ⋮ Rings whose modules are \(\oplus\)-supplemented

Cites Work

• Finiteness of the injective hull
• On rings for which every indecomposable right module has a unique maximal submodule
• On algebras for which every faithful representation is its own second commutator
• Double centralizers of injectives and projectives over artinian rings
• Double centralizers and dominant dimensions
• Rings with the double centralizer property
• Some ring theorems with applications to modular representations

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