Homological dimensions of special modules over formal triangular matrix rings

DOI10.1142/S0219498822501468OpenAlexW3163364828MaRDI QIDQ5089437

Li-Xin Mao

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501468

zbMATH Keywords

homological dimension\(n\)-tilting moduleformal triangular matrix ring

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological dimension in associative algebras (16E10)

Related Items

Injective cogenerators, cotilting modules and cosilting modules, Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras, Gorenstein flat modules over some Morita context rings, Homological aspects of formal triangular matrix rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Formal matrices
• Relative homological algebra. Vol. 1
• On the representation theory of rings in matrix form
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• Study of modules over formal triangular matrix rings
• Cotorsion pairs and approximation classes over formal triangular matrix rings
• Approximations and endomorphism algebras of modules.
• Silting modules over triangular matrix rings
• Infinitely generated tilting modules of finite projective dimension
• On the vanishing of Ext over formal triangular matrix rings
• DUALIZING MODULES AND n-PERFECT RINGS
• FP-PROJECTIVE DIMENSIONS
• Study of formal triangular matrix rings
• Duality pairs and FP-injective modules over formal triangular matrix rings
• Coherent Rings and Fp -Injective Modules