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"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]

Entropy (Basel)
Plotnitsky A.
europepmc   +1 more source

Stability of Homomorphisms, Coverings and Cocycles I: Equivalence

Chapman M, Lubotzky A.
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Cofiniteness of Local Cohomology Modules

Algebra Colloquium, 2014
Let M be a non-zero finitely generated module over a commutative Noetherian local ring (R, 𝔪). In this paper we consider when the local cohomology modules are finitely generated. It is shown that if t ≥ 0 is an integer and [Formula: see text], then [Formula: see text] is not 𝔭-cofinite.
K. Bahmanpour, R. Naghipour, M. Sedghi
semanticscholar   +3 more sources

Local cohomology and Serre subcategories

Journal of Algebra, 2008
The membership of the local cohomology modules Han(M) of a module M in certain Serre subcategories of the category of modules is studied from below (in). Generalizations of depth and regular sequences are defined.
Moharram Aghapournahr
exaly   +2 more sources

Finiteness properties and numerical behavior of local cohomology

Communications in Algebra, 2019
This manuscript discusses many problems connected with finiteness properties of local cohomology modules, e.g. the associated primes, the minimal primes, Bass numbers, as well as the behavior of injective dimension, Lyubeznik numbers, and content.
M. Hochster
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A Note on Local Cohomology

Algebra Colloquium, 2008
A certain set of associated primes of the Matlis duality of any top local cohomology module of a complete filter local ring is characterized. Also, it is proved that the set of associated primes of a finitely generated module over a four-dimensional local ring is finite.
Mafi, Amir, Zakeri, Hossein
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Graded components of local cohomology modules

Collectanea Mathematica, 2017
Let A be a regular ring containing a field of characteristic zero and let R=A[X1,…,Xm]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{
Tony J. Puthenpurakal
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Cohomological Dimension of Generalized Local Cohomology Modules

Algebra Colloquium, 2008
The study of the cohomological dimension of algebraic varieties has produced some interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N, the concept of cohomological dimension cd 𝔞(M, N) of M and N with respect to 𝔞 is introduced.
Amjadi, Jafar, Naghipour, Reza
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Simple D-module components of local cohomology modules

Journal of Algebra, 2016
For a projective variety V in P^n over a field of characteristic zero, with homogeneous ideal I in A = k[x0,x1,...,xn], we consider the local cohomology modules H^i_I(A).
C. Polini, R. Hartshorne
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A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules

Algebra Colloquium, 2009
The first part of this paper is concerned with the Artinianness of certain local cohomology modules [Formula: see text] when M is a Matlis reflexive module over a commutative Noetherian complete local ring R and 𝔞 is an ideal of R. Also, we characterize the set of attached prime ideals of [Formula: see text], where n is the dimension of M.
Khashyarmanesh, K., Khosh-Ahang, F.
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