The finitistic dimension of a Nakayama algebra
CM Ringel - Journal of Algebra, 2021 - Elsevier
… to Nakayama algebras: An algebra A is called Nakayama … The module category of a Nakayama
algebra is well … , can easily be answered for Nakayama algebras. But, actually, only very …
algebra is well … , can easily be answered for Nakayama algebras. But, actually, only very …
On bounds of homological dimensions in Nakayama algebras
D Madsen, R Marczinzik - … of the American Mathematical Society, Series B, 2018 - ams.org
… We then classify the standardly stratified Nakayama algebras of infinite global dimension
and look at their finitistic dimension to obtain our second main result. We remark that a proof of …
and look at their finitistic dimension to obtain our second main result. We remark that a proof of …
On the finitistic dimension conjecture II: related to finite global dimension
C Xi - Advances in Mathematics, 2006 - Elsevier
… finitistic dimensions of artin algebras by establishing a relationship between the global
dimensions of the given algebras… Nakayama conjecture implies the Nakayama conjecture. (4) The …
dimensions of the given algebras… Nakayama conjecture implies the Nakayama conjecture. (4) The …
[引用][C] Integral Versions of the Nakayama and Finitistic Dimension Conjectures
A Wiedemann - Journal of Algebra, 1994 - Elsevier
… In the second section we state the integral form of the Finitistic Dimension Conjecture and …
has an application and confirms that the Finitistic Dimension Conjecture holds for the indicated …
has an application and confirms that the Finitistic Dimension Conjecture holds for the indicated …
[PDF][PDF] On the finitistic global dimension conjecture for Artin algebras
… This conjecture would imply the Nakayama conjecture. Some of … finitistic dimension conjecture
for algebras with weak representation dimension at most 3, and consequently for algebras …
for algebras with weak representation dimension at most 3, and consequently for algebras …
Finitistic and representation dimensions
J Wei - arXiv preprint arXiv:0803.3364, 2008 - arxiv.org
… and the generalized Nakayama conjecture hold for … finitistic dimension conjecture and all
the above conjectures hold for artin algebras which can be realized as endomorphism algebras …
the above conjectures hold for artin algebras which can be realized as endomorphism algebras …
Finitistic dimension conjecture and relative hereditary algebras
J Wei - Journal of Algebra, 2009 - Elsevier
… conjecture, the Gorenstein symmetry conjecture, Wakamatsu-tilting conjecture and generalized
Nakayama conjecture hold for EndA P and (EndA P)o, if one of the following conditions …
Nakayama conjecture hold for EndA P and (EndA P)o, if one of the following conditions …
The -dimension of cyclic Nakayama algebras
E Sen - Communications in Algebra, 2021 - Taylor & Francis
… dimension. We study the behavior of the φ function for cyclic Nakayama algebras of infinite
global dimension… with representation dimension 3 the finitistic dimension conjecture holds. At …
global dimension… with representation dimension 3 the finitistic dimension conjecture holds. At …
[引用][C] A proof of the generalized Nakayama conjecture for algebras with J2l+ 1= 0 and A/Jl representation finite
P Dräxler, D Happel - Journal of pure and applied algebra, 1992 - Elsevier
… the finiteness of the finitistic dimension was proved recently for algebras (even for … to prove
that the finitistic dimensions of these algebras are finite. Nevertheless, … Nakayama conjecture …
that the finitistic dimensions of these algebras are finite. Nevertheless, … Nakayama conjecture …
Syzygy filtrations of cyclic Nakayama algebras
E Sen - arXiv preprint arXiv:1903.04645, 2019 - arxiv.org
… left finitistic and ϕ-dimensions are equal to the right finitistic … Nakayama algebra of
infinite global dimension, ϕ-dimension … In the same work, in order to study ϕ-dimension, we …
infinite global dimension, ϕ-dimension … In the same work, in order to study ϕ-dimension, we …
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