Results 131 to 140 of about 6,123,729 (220)

The Poincaré-Shannon Machine: Statistical Physics and Machine Learning Aspects of Information Cohomology

Entropy, 2019
Previous works established that entropy is characterized uniquely as the first cohomology class in a topos and described some of its applications to the unsupervised classification of gene expression modules or cell types.
Pierre Baudot
doaj   +1 more source

Local (Co)homology and Čech (Co)complexes with Respect to a Pair of Ideals

Mathematics
Let I and J be two ideals of a commutative ring R. We introduce the concepts of the Cˇech complex and Cˇech cocomplex with respect to (I,J) and investigate their homological properties.
Pinger Zhang
doaj   +1 more source

Artinianness of local cohomology modules

, 2014
Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.
Melkersson, Leif,, Aghapournahr, Moharram,   +1 more
core   +1 more source

COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Romanian Journal of Mathematics and Computer Science, 2015
Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj  

Symplectic manifolds and cohomological decomposition [PDF]

, 2012
Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Daniele Angella, Tomassini, Adriano, Adriano Tomassini, Angella, Daniele   +3 more
core  

Class Notes for Math 918: Local Cohomology, Instructor Tom Marley [PDF]

, 2010
Topics include: Injective Module, Basic Properties of Local Cohomology Modules, Local Cohomology as a Cech Complex, Long exact sequences on Local Cohomology, Arithmetic Rank, Change of Rings Principle, Local Cohomology as a direct limit of Ext modules ...
Lynch, Laura
core  

Maps on the Mirror Heisenberg–Virasoro Algebra

Mathematics
Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo, Ivan Kaygorodov, Liming Tang   +2 more
doaj   +1 more source

Off-shell fields and conserved currents

Physics Letters B
We study interactions of higher-spin massless fields φ with conserved currents multilinear in the off-shell matter fields ϕ. Specifically, we focus on the 3d case where a slight modification of the σ−-cohomology technique developed earlier is directly ...
E.O. Spirin, M.A. Vasiliev
doaj   +1 more source

Cohomology for Local Lie Algebras

Journal of Algebra, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Hodge–Lyubeznik numbers

Comptes Rendus. Mathématique
We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity,
García López, Ricardo, Sabbah, Claude
doaj   +1 more source