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 …

Finitistic dimension of properly stratified algebras

V Mazorchuk, S Ovsienko - Advances in Mathematics, 2004 - Elsevier
… the finitistic dimension of a properly stratified algebra having … dimension of the characteristic
tilting module. As a corollary, we get that the global dimension of a quasi-hereditary algebra

Recollements of derived categories III: finitistic dimensions

HX Chen, CC Xi - Journal of the London Mathematical Society, 2017 - Wiley Online Library
… between a given ring and the endomorphism ring of a finitely … of the given ring and the
endomorphism ring of the large tilting … we consider the finitistic dimensions of algebras arising from …

On the finitistic dimension conjecture, III: Related to the pair eAe⊆ A

C Xi - Journal of Algebra, 2008 - Elsevier
algebra and e an idempotent element in A. In this paper, we use co-homological conditions
on A to control the finitistic dimension … Let Λ be the endomorphism algebra of the module M = …

[HTML][HTML] Applications of stratifying systems to the finitistic dimension

EN Marcos, O Mendoza, C Sáenz - Journal of pure and applied algebra, 2006 - Elsevier
… module T such that the endomorphism algebra End Λ ( T ) is … projective finitistic dimension
of a standardly stratified algebra … the global dimension of a quasi-hereditary algebra is 2 n - 2 . …

Bounds on Global and Finitistic Dimension for Finite Dimensional Algebras with Vanishing Radical Cube

BZ Huisgen - Journal of Algebra, 1993 - Elsevier
finitistic dimension of left artinian rings A with vanishing radical cube. These bounds on fin
dim A, the supremum of the projective dimensions … a nilpotent endomorphism of G,(A). Linear …

Finitistic dimension conjectures via Gorenstein projective dimension

P Moradifar, J Šaroch - Journal of Algebra, 2022 - Elsevier
finitistic dimension conjectures. Motivated by the fact that finitistic dimensions of an algebra
can alternatively be computed by Gorenstein projective dimension, we examine in this work …

[HTML][HTML] Finitistic dimension conjecture and radical-power extensions

C Wang, C Xi - Journal of Pure and Applied Algebra, 2017 - Elsevier
… available to detect algebras of finite finitistic dimension. It seems … finiteness of finitistic
dimensions for general algebras or even … dimensions of the endomorphism algebras of modules. …

The Frobenius endomorphism and homological dimensions

C Miller - arXiv preprint math/0301208, 2003 - arxiv.org
endomorphism ϕ. This was a first indication of the important role that ϕ would play in homological
commutative algebra… it gives a finitistic criterion for finite projective dimension. Koh and …

Idempotent reduction for the finitistic dimension conjecture

D Bravo, C Paquette - Proceedings of the American Mathematical Society, 2020 - ams.org
… In this paper, Λ stands for an Artin algebra that we will assume to be basic. Since we … algebra
(1 − e)Λ(1 − e), which will be denoted by Γ. In other words, Γ is the endomorphism algebra