Tilting pair over split-by-nilpotent extensions

DOI10.1142/S0219498822500190zbMath1479.18010OpenAlexW3085736689MaRDI QIDQ5031459

Dajun Liu, Jiaqun Wei

Publication date: 16 February 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498822500190

zbMATH Keywords

split-by-nilpotent extensionstilting pairsWakamatsu tilting pairs

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05) Chain complexes (category-theoretic aspects), dg categories (18G35) Derived categories, triangulated categories (18G80)

Related Items (1)

Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable equivalence for self-injective algebras and a generalization of tilting modules
• \(n\)-star modules over ring extensions.
• Tilting modules of finite projective dimension
• On the structure of *-modules
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• Tilting modules and tilting torsion theories
• A characterization of the tilting pair.
• Infinitely generated tilting modules of finite projective dimension
• Wakamatsu tilting pairs
• Tilting, cotilting, and serially tilted rings
• Excellent extensions
• *- Modules over ring extensions
• Tilting modules over split-by-nilpotent extensions
• Tilting modules and ∗-modules
• On split-by-nilpotent extensions
• Support $\tau $-tilting modules under split-by-nilpotent extensions
• Basic Representation Theory of Algebras
• Tilting modules associated with a series of idempotent ideals

This page was built for publication: Tilting pair over split-by-nilpotent extensions