Results 11 to 20 of about 4,505 (170)

Cohomology of Effect Algebras [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect
Frank Roumen
doaj   +1 more source

On the Cohomology of Topological Semigroups

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr   +1 more
doaj   +1 more source

Cohomology of simple modules for algebraic groups

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev   +2 more
doaj   +1 more source

A Cohomology Theory for Commutative Monoids

open access: yesMathematics, 2015
Extending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension ...
María Calvo-Cervera, Antonio M. Cegarra
doaj   +1 more source

SettingsNote on the \(F_{0}\)-spaces

open access: yesCubo, 2023
A rationally elliptic space \(X\) is called an \(F_{0}\)-space if its rational cohomology is concentrated in even degrees. The aim of this paper is to characterize such a space in terms of the homotopy groups of its skeletons as well as the rational ...
Mahmoud Benkhalifa
doaj   +1 more source

Cohomologies of n-Lie Algebras with Derivations

open access: yesMathematics, 2021
The goal of this paper is to study cohomological theory of n-Lie algebras with derivations. We define the representation of an n-LieDer pair and consider its cohomology.
Qinxiu Sun, Zhixiang Wu
doaj   +1 more source

CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES

open access: yesForum of Mathematics, Sigma, 2014
We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties.
BURT TOTARO
doaj   +1 more source

Generalized Bockstein maps and Massey products

open access: yesForum of Mathematics, Sigma, 2023
Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by powers of the augmentation ideal in the group algebra of H.
Yeuk Hay Joshua Lam   +4 more
doaj   +1 more source

Deformations of Yang-Baxter operators via n-Lie algebra cohomology

open access: yesNuclear Physics B, 2023
We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
doaj   +1 more source

On Cohomology of Simple Modules for Modular Classical Lie Algebras

open access: yesAxioms, 2022
In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev   +2 more
doaj   +1 more source

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