Finitistic dimension and endomorphism algebras of Gorenstein projective modules

A Zhang - arXiv preprint arXiv:1802.00669, 2018 - arxiv.org
… with GP(A) = addAE and n ≥ 2, then the global dimension of … dimensions of A and the
endomorphism algebras of … homological dimensions of A and the endomorphism algebra

Finitistic dimension and endomorphism algebras of -Gorenstein modules

K Wu, J Wei - Journal of Algebra and Its Applications, 2021 - World Scientific
… In this paper, we consider the finitistic dimension of the endomorphism algebras of W-… The
famous finitistic dimension conjecture states that the finitistic dimension of any artin algebra is …

Finitistic dimension and Igusa–Todorov algebras

J Wei - Advances in Mathematics, 2009 - Elsevier
… –Todorov algebras and thus obtain many algebras such that the finitistic dimension conjecture
… of 2-Igusa–Todorov algebras is closed under taking endomorphism algebras of projective …

[HTML][HTML] On the finitistic dimension conjecture I: related to representation-finite algebras

C Xi - Journal of pure and applied algebra, 2004 - Elsevier
algebras to enlarge our knowledge on finitistic dimensions, namely, we study questions of the
following type: suppose two artin algebras … -injective algebra, every endomorphism of rad(B…

Endomorphism algebras and Igusa–Todorov algebras

Z Huang, J Sun - Acta Mathematica Hungarica, 2013 - Springer
… the finiteness of finitistic dimension of some Artin algebras; Zhang and … finitistic dimension
conjecture holds for the endomorphism algebra of any projective module over an Artin algebra

[PDF][PDF] On the finitistic global dimension conjecture for Artin algebras

K Igusa, G Todorov - … of algebras and related topics, 2005 - researchgate.net
… of the state of the finitistic global dimension conjecture can be … finitistic dimension conjecture
for algebras with weak representation dimension at most 3, and consequently for algebras

Finitistic dimension conjecture and relative hereditary algebras

J Wei - Journal of Algebra, 2009 - Elsevier
… in [13]), which is a generalization of algebras with representation dimension at most 3,
and then we study the finiteness of the finitistic dimensions of endomorphism algebras of …

Finitistic and representation dimensions

J Wei - arXiv preprint arXiv:0803.3364, 2008 - arxiv.org
… an artin algebra with representation dimension not … finitistic dimension conjecture and all
the above conjectures hold for artin algebras which can be realized as endomorphism algebras

An approach to the finitistic dimension conjecture

F Huard, M Lanzilotta, O Mendoza - Journal of algebra, 2008 - Elsevier
… of algebras. That is, we suggest to take the class of categories F(θ), of θ-filtered R-modules,
for all stratifying systems (θ,⩽) in modR. We prove that the Finitistic Dimensiondimension. …

Finitistic Auslander algebras

R Marczinzik - arXiv preprint arXiv:1701.00972, 2017 - arxiv.org
dimension, even when the dominant dimension is equal to one. We call an algebra with finitistic
dimension equal to … But since B is an endomorphism ring of a generator-cogenerator, its …