A method for constructing minimal projective resolutions over idempotent subrings

DOI10.1090/proc/16470arXiv2111.03311OpenAlexW3213977090MaRDI QIDQ6095791

Unnamed Author

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03311

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Cites Work

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• Homological theory of recollements of abelian categories
• A proof of the strong no loop conjecture.
• Homological behavior of idempotent subalgebras and Ext algebras
• Localization theory for triangulated categories
• Reduction techniques for the finitistic dimension
• Idempotent reduction for the finitistic dimension conjecture
• Auslander-Reiten triangles in subcategories
• Homological dimensions for co-rank one idempotent subalgebras

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