Reduction techniques for the finitistic dimension
E Green, C Psaroudakis, Ø Solberg - Transactions of the American …, 2021 - ams.org
In this paper we develop new reduction techniques for testing the finiteness of the finitistic
dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a …
dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a …
The extension dimension of abelian categories
J Zheng, X Ma, Z Huang - Algebras and Representation Theory, 2020 - Springer
Let AA be an abelian category having enough projective objects and enough injective
objects. We prove that if AA admits an additive generating object, then the extension …
objects. We prove that if AA admits an additive generating object, then the extension …
The Extension Dimension of Subcategories and Recollements of Abelian Categories
X Ma, YY Peng, ZY Huang - Acta Mathematica Sinica, English Series, 2024 - Springer
We investigate the behavior of the extension dimension of subcategories of abelian
categories under recollements. Let Λ′, Λ, Λ ″be artin algebras such that (mod Λ′, mod Λ …
categories under recollements. Let Λ′, Λ, Λ ″be artin algebras such that (mod Λ′, mod Λ …