Tilting theory for Gorenstein rings in dimension one
RO Buchweitz, O Iyama, K Yamaura - Forum of Mathematics, Sigma, 2020 - cambridge.org
TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE Page 1 Forum of Mathematics,
Sigma (2020), Vol. 8, e36, 37 pages doi:10.1017/fms.2020.28 1 TILTING THEORY FOR …
Sigma (2020), Vol. 8, e36, 37 pages doi:10.1017/fms.2020.28 1 TILTING THEORY FOR …
On the finiteness of Gorenstein homological dimensions
I Emmanouil - Journal of Algebra, 2012 - Elsevier
In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …
and flat dimensions. We examine conditions which imply that all Gorenstein projective …
[PDF][PDF] Duality for derived categories and cotilting bimodules
J Miyachi - Journal of Algebra, 1996 - core.ac.uk
In commutative ring theory, the notion of Gorenstein rings has been studied widely. For rings
having finite Krull dimension, Bass showed the characterization of Gorenstein rings as rings …
having finite Krull dimension, Bass showed the characterization of Gorenstein rings as rings …
Gorenstein homological dimensions and Auslander categories
MA Esmkhani, M Tousi - Journal of Algebra, 2007 - Elsevier
In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …
Tilting modules over Auslander–Gorenstein algebras
O Iyama, X Zhang - Pacific Journal of Mathematics, 2019 - msp.org
For a finite-dimensional algebra Λ and a nonnegative integer n, we characterize when the
set tilt n Λ of additive equivalence classes of tilting modules with projective dimension at …
set tilt n Λ of additive equivalence classes of tilting modules with projective dimension at …
Tilting modules and Auslander's Gorenstein property
T Wakamatsu - Journal of Algebra, 2004 - Elsevier
Tilting modules and Auslander’s Gorenstein property Page 1 Journal of Algebra 275 (2004)
3–39 www.elsevier.com/locate/jalgebra Tilting modules and Auslander’s Gorenstein property …
3–39 www.elsevier.com/locate/jalgebra Tilting modules and Auslander’s Gorenstein property …
Generalized tilting modules with finite injective dimension
Z Huang - Journal of Algebra, 2007 - Elsevier
Let R be a left noetherian ring, S a right noetherian ring and UR a generalized tilting module
with S= End (UR). The injective dimensions of UR and US are identical provided both of …
with S= End (UR). The injective dimensions of UR and US are identical provided both of …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …
[HTML][HTML] Transfer of Gorenstein dimensions along ring homomorphisms
LW Christensen, S Sather-Wagstaff - Journal of Pure and Applied Algebra, 2010 - Elsevier
A central problem in the theory of Gorenstein dimensions over commutative noetherian rings
is to find resolution-free characterizations of the modules for which these invariants are finite …
is to find resolution-free characterizations of the modules for which these invariants are finite …