[HTML][HTML] Homological theory of recollements of abelian categories
C Psaroudakis - Journal of Algebra, 2014 - Elsevier
We investigate several homological aspects of recollements of abelian categories. In
particular, we study how various homological invariants and dimensions of the categories …
particular, we study how various homological invariants and dimensions of the categories …
On the finitistic dimension conjecture, III: Related to the pair eAe⊆ A
C Xi - Journal of Algebra, 2008 - Elsevier
Let A be an Artin algebra and e an idempotent element in A. In this paper, we use co-
homological conditions on A to control the finitistic dimension of eAe. Such a consideration …
homological conditions on A to control the finitistic dimension of eAe. Such a consideration …
Generalised Lat-Igusa-Todorov Algebras and Morita Contexts
M Lanzilotta, J Vivero - arXiv preprint arXiv:2311.06148, 2023 - arxiv.org
In this paper we define (special) GLIT classes and (special) GLIT algebras. We prove that
GLIT algebras, which generalise Lat-Igusa-Todorov algebras, satisfy the finitistic dimension …
GLIT algebras, which generalise Lat-Igusa-Todorov algebras, satisfy the finitistic dimension …
Finitistic dimension and restricted flat dimension
J Wei - Journal of algebra, 2008 - Elsevier
We investigate the relations between finitistic dimensions and restricted flat dimensions
(introduced by Foxby [LW Christensen, H.-B. Foxby, A. Frankild, Restricted homological …
(introduced by Foxby [LW Christensen, H.-B. Foxby, A. Frankild, Restricted homological …
[HTML][HTML] Finitistic dimension conjecture and radical-power extensions
C Wang, C Xi - Journal of Pure and Applied Algebra, 2017 - Elsevier
The finitistic dimension conjecture asserts that any finite-dimensional algebra over a field
has finite finitistic dimension. Recently, this conjecture is reduced to studying finitistic …
has finite finitistic dimension. Recently, this conjecture is reduced to studying finitistic …
Auslander bounds and homological conjectures
J Wei - 2011 - ems.press
Auslander bounds and homological conjectures Page 1 Rev. Mat. Iberoamericana 27 (2011),
no. 3, 871–884 Auslander bounds and homological conjectures Jiaqun Wei Abstract Inspired …
no. 3, 871–884 Auslander bounds and homological conjectures Jiaqun Wei Abstract Inspired …
[PDF][PDF] One-sided bounds and the vanishing of Ext
KM Cowley - Journal of Algebra, 1997 - core.ac.uk
We note that Kirkman and Kuzmanovich KK2 have provided an example of a prime PI ring R
with lgld R y rgld R sm, where m is any preassigned positive integer, and so it may indeed …
with lgld R y rgld R sm, where m is any preassigned positive integer, and so it may indeed …
Idealized extensions of Artin algebras and finitistic dimensions
D Xu - Communications in Algebra, 2016 - Taylor & Francis
The article compares the finitistic dimensions of two algebras involved in an idealized
extension of Artin algebras under certain conditions. Precisely, we prove that, for the …
extension of Artin algebras under certain conditions. Precisely, we prove that, for the …
[PDF][PDF] A note on Auslander bounds
J Wei - arXiv preprint arXiv:0802.1085, 2008 - Citeseer
arXiv:0802.1085v2 [math.RA] 11 Mar 2008 Page 1 arXiv:0802.1085v2 [math.RA] 11 Mar 2008
A Note on Auslander Bounds Jiaqun Wei∗ Department of Mathematics, Nanjing Normal …
A Note on Auslander Bounds Jiaqun Wei∗ Department of Mathematics, Nanjing Normal …
A note on fixed rings
H Mouanis - Journal of Algebra and Its Applications, 2005 - World Scientific
Let R be a ring and G a group of automorphisms of R. In this paper we investigate the
transfer of the Von Neumman regularity from the total quotient ring of R to the total quotient …
transfer of the Von Neumman regularity from the total quotient ring of R to the total quotient …