Semilocal modules and quasi-hereditary algebras

DOI10.1007/BF01236074zbMath0784.16008MaRDI QIDQ689753

Changchang Xi, Ya Nan Lin

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalfinite-dimensional algebraquasi-hereditary algebrafinitely generated semilocal \(A\)-moduleLoewy length

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items

\(\Delta\)-filtrations and projective resolutions for the Auslander-Dlab-Ringel algebra ⋮ On an upper bound for the global dimension of Auslander-Dlab-Ringel algebras ⋮ A construction of quasi-hereditary endomorphism algebras. ⋮ On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\). ⋮ Representation dimension and quasi-hereditary algebras.

Cites Work

• Quasi-hereditary algebras
• Homological Theory of Idempotent Ideals
• Every Semiprimary Ring is the Endomorphism Ring of a Projective Module Over a Quasi-Hereditary Ring
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