Reduction techniques for the finitistic dimension
type: Item
instance of: scholarly article
title: Reduction techniques for the finitistic dimension
zbMATH Open document ID: 1496.16009
author: Chrysostomos Psaroudakis
author: E. L. Green
author: Ø. Solberg
published in: Transactions of the American Mathematical Society
publication date: 2021-09-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1808.03564
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 18G20
zbMATH DE Number: 7397990
zbMATH Keywords: cleft extension of abelian categories
zbMATH Keywords: recollements of abelian categories
zbMATH Keywords: finitistic dimension
zbMATH Keywords: path algebras
describes a project that uses: QPA
MaRDI profile type: Publication
OpenAlex ID: W3134538504
arXiv ID: 1808.03564
cites work: Homological Dimension in Local Rings
cites work: On a Generalized Version of the Nakayama Conjecture
cites work: Cleft extensions of abelian categories and applications to ring theory
cites work: On the relative homology of cleft extensions of rings and abelian categories
cites work: Cohomological reduction by split pairs.
cites work: Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
cites work: On the finitistic dimension conjecture for artinian rings
cites work: Q4270306
cites work: Multiplicative bases, Gröbner bases, and right Gröbner bases
cites work: Convex subquivers and the finitistic dimension
cites work: Q4012108
cites work: Reduction techniques for homological conjectures
cites work: Finite Projectivity and Contravariant Finiteness
cites work: Tilting complexes, perpendicular categories and recollements of derived module categories of rings
cites work: Krull-Schmidt categories and projective covers
cites work: Homological theory of recollements of abelian categories
cites work: A representation-theoretic approach to recollements of abelian categories
cites work: Recollements of module categories
cites work: Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements
cites work: Unbounded derived categories and the finitistic dimension conjecture
cites work: Grothendieck Groups for Hypersurface Rings
cites work: Finitistic dimension conjecture and radical-power extensions
cites work: On the finitistic dimension conjecture. I: Related to representation-finite algebras.
cites work: On the finitistic dimension conjecture. II: Related to finite global dimension
cites work: On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\).
cites work: Idealized Extensions of Artin Algebras and Finitistic Dimensions
cites work: The finitistic dimension conjectures -- a tale of 3.5 decades
DOI: 10.1090/TRAN/8409
description: scientific article