THE FINITISTIC DIMENSION CONJECTURE AND RELATIVELY PROJECTIVE MODULES

DOI10.1142/S0219199713500041zbMath1275.18026OpenAlexW2115514475WikidataQ122914942 ScholiaQ122914942MaRDI QIDQ4916153

Dengming Xu, Changchang Xi

Publication date: 19 April 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199713500041

zbMATH Keywords

global dimensionfinitistic dimensiontwisted tensor productrelatively projective modulerelatively hereditary extension

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Related Items (14)

Relative Igusa-Todorov functions and relative homological dimensions ⋮ Finitistic dimension conjecture and radical-power extensions ⋮ Relative global dimensions of extensions ⋮ Convex subquivers and the finitistic dimension ⋮ Relatively flat modules on ring extensions ⋮ Quotient bifinite extensions and the finitistic dimension conjecture ⋮ Derived equivalences between matrix subrings and their applications ⋮ Finitistic dimension conjecture and extensions of algebras ⋮ Exact contexts, noncommutative tensor products, and universal localizations ⋮ Homological dimensions and strongly idempotent ideals. ⋮ Idealized Extensions of Artin Algebras and Finitistic Dimensions ⋮ Relatively free modules on ring extensions ⋮ Homological dimensions of the extension algebras of monomial algebras. ⋮ The \(\phi\)-dimension: a new homological measure.

Cites Work

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• Characteristic tilting modules and Ringel duals
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• Global dimensions of dual extension algebras
• On the finitistic dimension conjecture. II: Related to finite global dimension
• Adjoint functors and representation dimensions
• On semisimple extensions and separable extensions over non commutative rings
• On the cohomology theory for associative algebras
• Classes of extensions and resolutions
• Finitistic dimensions of ring extensions
• On Hochschild Extensions of Reduced and Clean Rings
• Homological and homotopical aspects of torsion theories

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