Results 1 to 10 of about 60 (57)

A bimodule structure for the bounded cohomology of commutative local rings [PDF]

open access: yesJournal of Algebra, 2019
Stable cohomology is a generalization of Tate cohomology to associative rings, first defined by Pierre Vogel. For a commutative local ring $R$ with residue field $k$, stable cohomology modules $\widehat{\mathrm{Ext}}{\vphantom E}^{n}_R\;(k,k)$, defined for $n\in\mathbb{Z}$, have been studied by Avramov and Veliche. Stable cohomology carries a structure
openaire   +4 more sources

On the properties of weak CM rings

open access: yes上海师范大学学报. 自然科学版, 2022
In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
doaj   +1 more source

Local Cohomology Modules and Relative Cohen-Macaulayness

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj   +1 more source

Structural theorem for gr-injective modules over gr-noetherian G-graded commutative rings and local cohomology functors

open access: yesIzvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ., 2019
The author studies graded modules over graded commutative rings in analogy to the classical theory. He introduces and studies gr-Bass numbers for gr-noetherian modules over gr-noetherian graded rngs, and expresses them in terms of the functor \(Ext\). Further topics include radical and preradical functors, etc. The author also defines and uses abstract
openaire   +3 more sources

The Effect of Topological Properties of Commutative Algebraic Rings on Local Cohomology Modules

open access: yes
This research investigates the effect of topological properties of commutative algebraic rings on local cohomology modules. The main goal is to analyze in detail the relationship between Zariski topology, localization, and topological stability with the structure and properties of local cohomology modules.
openaire   +2 more sources

Polytope Novikov homology. [PDF]

open access: yesJ Fixed Point Theory Appl, 2021
Pellegrini A.
europepmc   +1 more source

The local motivic DT/PT correspondence. [PDF]

open access: yesJ Lond Math Soc, 2021
Davison B, Ricolfi AT.
europepmc   +1 more source

An Euler system for GU(2, 1). [PDF]

open access: yesMath Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

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