Results 71 to 80 of about 769,852 (175)
Cohen-Macaulay modules of infinite projective dimension
, 2008 A characterization of finitely generated torsion modules of not necessarily finite projective dimension over a Cohen-Macaulay ring, is given in terms of the non-Cohen-Macaulay loci and the Fitting invariants of a free resolution of such a module ...
Rodríguez Mielgo, César +2 more
core +1 more source
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Ulrich modules over Cohen–Macaulay local rings with minimal multiplicity [PDF]
, 2018 Let R be a Cohen–Macaulay local ring. In this paper, we study the structure of Ulrich R-modules mainly in the case where R has minimal multiplicity.
Toshinori Kobayashi +3 more
core +1 more source
About the Cohen-Macaulay defect and almost Cohen-Macaulay rings [PDF]
We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay defect in the same way that the condition $(S_n)$ is connected to Cohen ...
Ionescu, Cristodor
core +1 more source
On the self-dual maximal Cohen-Macaulay modules [PDF]
, 1996 We study the duality for maximal Cohen-Macaulay modules (MCM modules for short) over Cohen-Macaulay local rings. We characterize (low dimensional) rings over which any MCM module is self-dual, and establish a correspondence between the isomorphism ...
Ooishi, Akira
core +1 more source
, 1994 summary:In this paper, we use a characterization of $R$-modules $N$ such that $fd_RN = pd_RN$ to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting $N$ to be the $dth$ local cohomology functor of $R$ with respect to
Overtoun, Jenda M. G., Enochs, Edgar E.
core +1 more source
Linkage of modules over Cohen–Macaulay rings [PDF]
, 2010 Inspired by the theory of linkage for ideals, the concept of sliding depth of a finitely generated module over a Noetherian local ring is defined in terms of its Ext modules.
Sadeghi, Arash +8 more
core +1 more source
On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence
, 2022 summary:Let $R$ be a local ring and $C$ a semidualizing module of $R$. We investigate the behavior of certain classes of generalized Cohen-Macaulay $R$-modules under the Foxby equivalence between the Auslander and Bass classes with respect to $C$.
Divaani-Aazar, Kamran +2 more
core +1 more source
Representation-theoretic properties of balanced big Cohen-Macaulay modules [PDF]
Let $(R, \m, k)$ be a complete Cohen-Macaulay local ring. In this paper, we assign a numerical invariant, for any balanced big Cohen-Macaulay module, called $\uh$-length. Among other results, it is proved that, for a given balanced big Cohen-Macaulay $R$-
Fotouhi, Fahimeh Sadat +2 more
core +1 more source
Dualities and equivalences of the category of relative Cohen-Macaulay modules [PDF]
, 2023 In this paper, we establish the global analogues of some dualities and equivalences in local algebra by developing the theory of relative Cohen-Macaulay modules.
Divaani-Aazar, Kamran +2 more
core +1 more source