Redundancy in resuloutions and finitistic dimensions of noetherian rings

DOI10.1080/00927879308824715zbMath0782.16001OpenAlexW2000325456MaRDI QIDQ5287627

Yong Wang, Kent R. Fuller

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824715

zbMATH Keywords

syzygiesinjective dimensionscosyzygiesNakayama conjecturenoetherian ringsultimately closed resolution

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Projectives and injectives (category-theoretic aspects) (18G05) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

A geometric approach to the finitistic dimension conjecture ⋮ Homological behavior of Auslander's \(k\)-Gorenstein rings. ⋮ Auslander bounds and homological conjectures. ⋮ The depth, the delooping level and the finitistic dimension ⋮ Finitistic dimensions of semiprimary rings

Cites Work

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• Finitistic dimensions of finite dimensional monomial algebras
• Finitistic dimensions of Noetherian rings
• Homological domino effects and the first finitistic dimension conjecture
• Left monomial rings -- a generalization of monomial algebras
• Applications of contravariantly finite subcategories
• On the vanishing of \(\lim_{(i)}\)
• Injective dimension of semi-primary rings
• On rings with finite self-injective dimension

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