On the representation dimension of finite dimensional algebras

DOI10.1006/jabr.1999.8177zbMath0960.16016OpenAlexW2061921378MaRDI QIDQ1975910

Changchang Xi

Publication date: 8 February 2001

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

Full work available at URL: https://semanticscholar.org/paper/6439fd797b33c449db90813c38b97347b8144932

zbMATH Keywords

tensor productsglobal dimensionone-point extensionstriangular matrix algebrasrepresentation dimensionrepresentation finite Artin algebras

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Homological dimension in associative algebras (16E10)

Related Items

On the finitistic dimension conjecture. I: Related to representation-finite algebras., Finiteness of representation dimension, On the representation dimension of some classes of algebras., The representation dimension of a selfinjective algebra of Euclidean type, On the finitistic dimension conjecture. II: Related to finite global dimension, Finitistic dimension conjecture and relative hereditary algebras., Hochschild cohomology of Beilinson algebra of exterior algebra., Representation dimension via tilting theory, Homological theory of recollements of abelian categories, The representation dimension of Artin algebras, Representation dimensions of triangular matrix algebras., Ring constructions and generation of the unbounded derived module category, Representation dimension for Hopf actions., The representation dimension of Hecke algebras and symmetric groups., On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\)., Cohomology of twisted tensor products., Invariant properties of representations under excellent extensions., Representation dimension and quasi-hereditary algebras., On the representation dimension of tilted and laura algebras., Representation dimension of \(m\)-replicated algebras., Adjoint functors and representation dimensions, Radical embeddings and representation dimension.

Cites Work

• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• Tame algebras and integral quadratic forms
• Homological dimension and representation type of algebras under base field extension
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Applications of contravariantly finite subcategories
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