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 …
famous finitistic dimension conjecture states that the finitistic dimension of any artin algebra is …
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 …
can alternatively be computed by Gorenstein projective dimension, we examine in this work …
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 …
(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 …
restricted flat dimension is a useful tool to describe the finitistic dimension for the algebras we …
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 …
and the related finitistic Gorenstein projective dimension … the finitistic projective dimension of …
Little finitistic dimensions and generalized derived categories
X Zhang, T Zhao, D Wang - arXiv preprint arXiv:2306.09140, 2023 - arxiv.org
… very closely connected with its left little finitistic dimension. We also introduce and investigate
… In particular, we characterize the left little finitistic dimensions in terms of all above notions. …
… In particular, we characterize the left little finitistic dimensions in terms of all above notions. …
The finitistic dimension of an Artin algebra with radical square zero
V Gélinas - Proceedings of the American Mathematical Society, 2021 - ams.org
… The little finitistic dimension findim Λ and big finitistic dimension Findim Λ are important … of
algebras we can compute the finitistic dimensions of Λop in terms of the projective dimensions …
algebras we can compute the finitistic dimensions of Λop in terms of the projective dimensions …
The small finitistic dimensions of commutative rings
X Zhang, F Wang - 2023 - projecteuclid.org
… , we characterize the small finitistic dimension of a ring R using … For little small finitistic
dimensions, we rediscover the rings … As applications, we show that the small finitistic dimensions …
dimensions, we rediscover the rings … As applications, we show that the small finitistic dimensions …
Every Prüfer ring does not have small finitistic dimension at most one
FG Wang, DC Zhou, H Kim, T Xiong… - … in Algebra, 2020 - Taylor & Francis
… Then the small finitistic dimension of R is defined as fPD ( R ) = sup { pd R M | M ∈ F P R ( R
… Moreover, we introduce the concepts of FT-flat modules and the global FT-flat dimension of …
… Moreover, we introduce the concepts of FT-flat modules and the global FT-flat dimension of …
On Lat-Igusa-Todorov algebras
M Barrios, G Mata - São Paulo Journal of Mathematical Sciences, 2022 - Springer
… showed that the finitistic dimension of Artin algebras with representation dimension at most
three … Since every Artin algebra can be realized as an endomorphism algebra of a projective …
three … Since every Artin algebra can be realized as an endomorphism algebra of a projective …
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