Results 1 to 10 of about 1,065 (101)
Big Finitistic Dimensions for Categories of Quiver Representations [PDF]
Mathematics Interdisciplinary Research, 2021 Assume that A is a Grothendieck category and R is the category of all A-representations of a given quiver Q. If Q is left rooted and A has a projective generator, we prove that the big finitistic flat (resp. projective) dimension FFD(A) (resp. FPD(A)) of
Roghayeh Bagherian, Esmaeil Hosseini
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Auslander‐reiten conjecture for gorenstein rings of krull dimension at least 2 [PDF]
ریاضی و جامعه, 2022 Auslander‐Reiten Conjecture is one of the most important and long‐standing conjectures in representation theory of finite dimensional algebras. It is known to be in close relationship with a string of homological conjectures on top of which lies the well‐
Hossein Eshraghi
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Finitistic dimension conjectures via Gorenstein projective dimension [PDF]
Journal of Algebra, 2022 It is a well-known result of Auslander and Reiten that contravariant finiteness of the class $\mathcal{P}^{\mathrm{fin}}_\infty$ (of finitely generated modules of finite projective dimension) over an Artin algebra is a sufficient condition for validity of finitistic dimension conjectures.
Pooyan Moradifar, Jan Šaroch
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On the symmetry of the finitistic dimension
Comptes Rendus. Mathématique, 2023 For any ring we propose the construction of a cover which increases the finitistic dimension on one side and decreases the finitistic dimension to zero on the opposite side. This complements recent work of Cummings.
Krause, Henning
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Gorenstein Flat Modules of Hopf-Galois Extensions
Mathematics, 2023 Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B, and obtain that the global Gorenstein flat dimension ...
Qiaoling Guo +3 more
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Finitistic dimension through infinite projective dimension [PDF]
Bulletin of the London Mathematical Society, 2009 10 ...
Huard, Francois +2 more
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On algebraic characterizations for finiteness of the dimension of EG [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 Certain algebraic invariants of the integral group ring ZG of a group G were introduced and investigated in relation to the problem of extending the Farrell-Tate cohomology, which is defined for the class of groups of finite virtual cohomological ...
Olympia Talelli
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Finitistic dimensions and good filtration dimensions of stratified algegras [PDF]
Bulletin of the Australian Mathematical Society, 2004 Δ–finitistic dimensions of standardly stratified algebras are defined similarly to properly stratified algebras. It is proved that the finitistic dimension for any standardly stratified algebra is bounded by the sum of the Δ–finitistic dimension and the ∇ good filtration dimension.
Wang, Shugui, Zhu, Bin
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Finitistic dimension and restricted injective dimension [PDF]
Czechoslovak Mathematical Journal, 2015 Let \(R\) be a ring and \(T\) a left \(R\)-module with \(A := \text{End}_{R}(T)\). Then \(T\) can be viewed as a right \(A\)-module. The restricted injective dimension, \(\text{rid}\,(T_{A})\), of \(T_{A}\) is defined as the supremum of the natural numbers \(m\) such that \(\text{Ext}^{m}_{A}(Q, T_{A}) \neq 0\) for some finitely generated projective ...
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On bounds of homological dimensions in Nakayama algebras [PDF]
, 2017 Let $A$ be a Nakayama algebra with $n$ simple modules and a simple module $S$ of even projective dimension $m$. Choose $m$ minimal such that a simple $A$-module with projective dimension $2m$ exists, then we show that the global dimension of $A$ is ...
Madsen, Dag Oskar, Marczinzik, Rene
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