Finitistic dimension conjecture and relative hereditary algebras.

DOI10.1016/j.jalgebra.2009.08.016zbMath1187.16006OpenAlexW2037903535WikidataQ123280227 ScholiaQ123280227MaRDI QIDQ848515

Jiaqun Wei

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.08.016

zbMATH Keywords

projective modulesendomorphism algebrasrepresentation dimensionfinitistic dimension conjecturegeneralized Nakayama conjecturerelative hereditary Artin algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (4)

Derived invariance by syzygy complexes ⋮ Semi-tilting modules and mutation. ⋮ Endomorphism algebras and Igusa-Todorov algebras. ⋮ Gorenstein Hereditary Rings

Cites Work

• Unnamed Item
• Stable equivalence for self-injective algebras and a generalization of tilting modules
• Finitistic dimensions of finite dimensional monomial algebras
• On the finitistic dimension conjecture of Artin algebras.
• Finitistic dimension and Igusa-Todorov algebras.
• On modules with trivial self-extensions
• Finitistic dimension of Artinian rings with vanishing radical cube
• Radical embeddings and representation dimension.
• Wakamatsu tilting modules.
• On the representation dimension of finite dimensional algebras
• On the finitistic dimension conjecture. II: Related to finite global dimension
• Tilting theory and the finitistic dimension conjectures
• A note on the finitistic dimension conjecture
• The finitistic dimension conjectures -- a tale of 3.5 decades

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