Theory and applications of universal linkage

B Ulrich - Commutative algebra and combinatorics, 1987 - projecteuclid.org
… Since I is licci and Gorenstein we may use Corollary 1.8 to conclude that there is a
sequence of links in R, I - /1 - … I2n such that I2n is regular and /2, is Gorenstein for all 0<2i<2n. …

Linkage and intermediate C-Gorenstein dimensions

JP Brennan, A York - arXiv preprint arXiv:1810.01399, 2018 - arxiv.org
… module linkage using quasiGorenstein modules, from which we use C-quasi-Gorenstein
Then just as with C-Gorenstein dimension we can resolve any module with grade greater …

Theory of linkage, Gorenstein dimension and two semidualizing modules

TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
… for modules which generalizes the concept of linkage due to … study the theory of linkage for
modules of finite GC-dimension which … linkage with respect to C due to Dibaei and Sadeghi. …

Linkage of finite Gorenstein dimension modules

MT Dibaei, A Sadeghi - Journal of Algebra, 2013 - Elsevier
… we study the theory of linkage for class of modules which have finite Gorenstein dimensions.
In particular, for a horizontally linked module M of finite and positive G-dimension, we study …

[PDF][PDF] Even liaison classes generated by Gorenstein linkage

U Nagel - Journal of Algebra, 1998 - core.ac.uk
… we should call it Gorenstein linkage. Here we just say linkage for simplicity, and because
linkage is always understood in the sense above. If R is a polynomial ring and …

[图书][B] Gorenstein liaison, complete intersection liaison invariants and unobstructedness

JO Kleppe - 2001 - books.google.com
… the equivalence relation determined by G-linkage. One of the purposes of this paper is to
show that Gorenstein liaison is a very natural geometric theory of divisors on an arithmetically …

[HTML][HTML] Gorenstein homological dimensions

H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… of the Gorenstein dimensions over arbitrary … every Gorenstein projective module Q. We
show that every module M with finite Gorenstein projective dimension admits a nice Gorenstein

Linkage of Cohen–Macaulay modules over a Gorenstein ring

Y Yoshino, S Isogawa - Journal of Pure and Applied Algebra, 2000 - Elsevier
… Throughout the present paper, let (R; m;k) be a Gorenstein complete local ring and we
assume that all modules are finitely generated. The notion of linkage for ideals of R has been …

Generalized divisors on Gorenstein schemes

R Hartshorne - K-theory, 1994 - access.portico.org
… What we do in this paper is to give a new definition of linkage, equivalent to the algebraic
linkage of [26], but closer in spirit to the intuition coming from the classical geometrical linkage. …

Algebraic linkage

C Huneke, B Ulrich - Duke Mathematical Journal, 1988 - projecteuclid.org
… several ,’esults concerning the theory of algebraic linkage. If R is a local Gorenstein ring,I
and J … Two ideals I and J are in the same linkage class if there are ideals I1,..., 1 such that I 11 …