Reduction techniques for the finitistic dimension

DOI10.1090/tran/8409zbMath1496.16009arXiv1808.03564OpenAlexW3134538504MaRDI QIDQ3382256

Chrysostomos Psaroudakis, Edward Lee Green, Øyvind Solberg

Publication date: 21 September 2021

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

Full work available at URL: https://arxiv.org/abs/1808.03564

zbMATH Keywords

path algebrasfinitistic dimensionrecollements of abelian categoriescleft extension of abelian categories

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10)

Related Items

Homological invariants of the arrow removal operation, A method for constructing minimal projective resolutions over idempotent subrings, Separable equivalences, finitely generated cohomology and finite tensor categories, Ring constructions and generation of the unbounded derived module category, Fabric idempotents and higher Auslander-Reiten theory, Resolving resolution dimension of recollements of abelian categories, Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology, Gorenstein global dimension of recollements of abelian categories, Idempotent reduction for the finitistic dimension conjecture, A representation-theoretic approach to recollements of abelian categories, Reduction techniques of singular equivalences, The first Hochschild (co)homology when adding arrows to a bound quiver algebra

Uses Software

• QPA

Cites Work

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