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 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 …

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 …

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. …

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

Homological dimensions for endomorphism algebras of Gorenstein projective modules

A Zhang, X Lei - Czechoslovak Mathematical Journal, 2024 - Springer
… In this paper we consider endomorphism algebra of the form B = EndAM, where A is a CM-…
restricted flat dimension is a useful tool to describe the finitistic dimension for the algebras we …

Finitistic Dimension of Weak Hopf-Galois Extensions

X Zhou, Q Li - Filomat, 2016 - JSTOR
algebra A corresponds to a left weak H∗-module algebra A … Thus A and H∗ form a weak
smash product algebra A#H∗ (… product algebra A#H∗ and the endomorphism algebra EndAB, …

Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module

E Tavasoli - Communications in Algebra, 2019 - Taylor & Francis
finitistic projective dimension, FPD ( R ) = sup { pd R ( M ) | M ∈ M ( R ) and pd R ( M ) < ∞ }
and the related finitistic Gorenstein projective dimension … the finitistic projective dimension of …