Gorenstein derived functors

H Holm - Proceedings of the American Mathematical Society, 2004 - ams.org
Over any associative ring $ R $ it is standard to derive $\mathrm {Hom} _R (-,-) $ using
projective resolutions in the first variable, or injective resolutions in the second variable, and …

Dual of the Auslander-Bridger formula and GF-perfectness

P Sahandi, T Sharif - Mathematica Scandinavica, 2007 - JSTOR
Ext-finite modules were introduced and studied by Enochs and Jenda. We prove under
some conditions that the depth of a local ring is equal to the sum of the Gorenstein injective …

Lower bounds for Betti numbers over fiber product rings

TH Freitas, VH Jorge Pérez - Communications in Algebra, 2023 - Taylor & Francis
In this paper we study the behavior of the Betti numbers of a finitely generated R-module
over the fiber product ring R× TS, with R, S and T being local rings with common residual …

Auslander-Reiten Conjecture, Finite -Injective Dimension of , and vanishing of

VD Mendoza-Rubio, VH Jorge-Pérez - arXiv preprint arXiv:2312.05914, 2023 - arxiv.org
Let $ R $ be a Noetherian local ring, and let $ C $ be a semidualizing $ R $-module. In this
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …

Towards the full Mordell-Lang conjecture for Drinfeld modules

D Ghioca - arXiv preprint math/0611476, 2006 - arxiv.org
arXiv:math/0611476v1 [math.NT] 15 Nov 2006 Page 1 arXiv:math/0611476v1 [math.NT] 15
Nov 2006 TOWARDS THE FULL MORDELL-LANG CONJECTURE FOR DRINFELD …

Towards the Full Mordell–Lang Conjecture for Drinfeld Modules

D Ghioca - Canadian Mathematical Bulletin, 2010 - cambridge.org
Towards the Full Mordell–Lang Conjecture for Drinfeld Modules Page 1 Canad. Math. Bull.
Vol. 53 (1), 2010 pp. 95–101 doi:10.4153/CMB-2010-020-7 c©Canadian Mathematical Society …

The condition 𝐸𝑥𝑡¹ (𝑀, 𝑅)= 0 for modules over local Artin algebras (𝑅, 𝔐) with 𝔐²= 0

MS Menzin - Proceedings of the American Mathematical Society, 1974 - ams.org
Let $ M $ be a finitely generated module over a (not necessarily commutative) local Artin
algebra $(R,\mathfrak {M}) $ with ${\mathfrak {M}^ 2}= 0$. It is known that when $ R $ is …

On the projective dimension of tensor products of modules

O Celikbas, S Dey, T Kobayashi - arXiv preprint arXiv:2304.04490, 2023 - arxiv.org
In this paper we consider a question of Roger Wiegand, which is about tensor products of
finitely generated modules that have finite projective dimension over commutative …

[PDF][PDF] Modules with Dedekind finite endomorphism rings

S Breaz, G Calugareanu, P Schultz - Mathematica, 2011 - researchgate.net
MODULES WITH DEDEKIND FINITE ENDOMORPHISM RINGS A unital ring R is called
Dedekind (or directly, or von Neumann) finite if ba = Page 1 MATHEMATICA, Tome ?? (??), No …

Tilting modules and Gorenstein rings

LA Hügel, D Herbera, J Trlifaj - 2006 - degruyter.com
We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …