Results 111 to 120 of about 138,760 (231)

Cohomological dimension and top local cohomology modules

open access: yesRocky Mountain Journal of Mathematics, 2019
Let $R$ be a Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module. In this paper, we first determine a condition under which a given integer $t$ is a lower bound for the cohomological dimension $\operatorname {cd}(I,M)$, and use this to conclude that non-catenary Noetherian domains contain prime ideals that are not set-theoretic complete ...
Erdoğdu, Vahap, Yıldırım, Tuğba
openaire   +4 more sources

An operadic approach to vertex algebra and Poisson vertex algebra cohomology

open access: yes, 2019
We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomology complex associated to a linear operad produces a vertex algebra ...
Bakalov, Bojko   +3 more
core  

The triviality of dihedral cohomology for operator algebras

open access: yesScientific African
This article delves into algebraic topology, specifically (co)homology theory, which is essential in various mathematical fields. It explores different types of (co)homology groups such as Hochschild, cyclic, reflexive, and dihedral, focusing on dihedral
Samar A.A. Quota   +3 more
doaj  

On bounded cohomology of amalgamated products of groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudocharacters.
Igor V. Erovenko
doaj   +1 more source

Substitutions with Vanishing Rotationally Invariant First Cohomology

open access: yesDiscrete Dynamics in Nature and Society, 2012
The cohomology groups of tiling spaces with three-fold and nine-fold symmetries are obtained. The substitution tilings are characterized by the fact that they have vanishing first cohomology group in the space of tilings modulo a rotation.
Juan García Escudero
doaj   +1 more source

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