A model structure approach to the finitistic dimension conjectures

DOI10.1002/mana.201000116zbMath1277.16009arXiv0908.2751OpenAlexW2007510476WikidataQ123123718 ScholiaQ123123718MaRDI QIDQ2888901

Sergio Estrada, Pedro A. Guil Asensio, Manuel Cortés-Izurdiaga

Publication date: 4 June 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2751

zbMATH Keywords

projective dimensionmodel categoriesfinitistic dimension conjecturesfinitistic dimensionscategories of chain complexeshereditary cotorsion theoriesrelative dimensions

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Chain complexes (category-theoretic aspects), dg categories (18G35) Homological dimension in associative algebras (16E10)

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Model structures on the category of complexes of quiver representations, Cut cotorsion pairs, A model structure approach to the Tate-Vogel cohomology, GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES, Gorenstein conditions over triangular matrix rings, Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules, Relative FP-injective and FP-flat complexes and their model structures, Notes on resolving resolution dimensions, New model structures and projective (injective) cotorsion pairs

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