Results 61 to 70 of about 7,465 (167)

Advancements in detecting, preventing, and mitigating DDoS attacks in cloud environments: A comprehensive systematic review of state-of-the-art approaches

Egyptian Informatics Journal
This comprehensive study examines cutting-edge strategies for combating Distributed Denial of Service (DDoS) attacks in cloud environments, addressing a critical gap in recent literature. Through a systematic review of the latest advancements, we propose
Mohamed Ouhssini, Karim Afdel, Mohamed Akouhar, Elhafed Agherrabi, Abdallah Abarda   +4 more
doaj   +1 more source

Transposed Poisson superalgebra [PDF]

Proceedings of the Estonian Academy of Sciences
In this paper, we propose the notion of a transposed Poisson superalgebra. We prove that a transposed Poisson superalgebra can be constructed by means of a commutative associative superalgebra and an even degree derivation of this algebra.
Viktor Abramov, Olga Liivapuu
doaj   +1 more source

Vertex Algebroids over Veronese Rings

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces ...
Fyodor Malikov
doaj   +1 more source

Nonassociative Algebras: A Framework for Differential Geometry

International Journal of Mathematics and Mathematical Sciences, 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
doaj   +1 more source

Differential Equations and Algebras

, 2023
A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus ...
openaire   +2 more sources

On Differential Hopf Algebras and $$B_{\infty }$$ Algebras

Mediterranean Journal of Mathematics
Abstract We establish a structure theorem analogous to the classical result of Milnor and Moore: any differential graded (not necessarily cocommutative) Hopf algebra H that is cofree as a coalgebra carries an underlying $$B_\infty $$ B ∞
Gálvez-Carrillo, Imma, Ronco, María, Tonks, Andy   +2 more
openaire   +2 more sources

BIGRADED DIFFERENTIAL ALGEBRA FOR VERTEX ALGEBRA COMPLEXES

Journal of Mathematical Sciences
Abstract For an infinite cochain bicomplex, we show that the orthogonality and grading conditions provide it with the structure of a bigraded differential algebra with respect to a natural multiplication of several elements bicomplex spaces. Corresponding bigraded algebra commutation relations generate a sequence of non-vanishing cohomology ...
openaire   +2 more sources

Connections on trivial vector bundles over projective schemes

Comptes Rendus. Mathématique
Over a smooth and proper complex scheme, the differential Galois group of an integrable connection may be obtained as the closure of the transcendental monodromy representation.
Biswas, Indranil, Hô Hai, Phùng, dos Santos, Joao Pedro   +2 more
doaj   +1 more source

Abelian Extensions of Modified λ-Differential Left-Symmetric Algebras and Crossed Modules

Axioms
In this paper, we define a cohomology theory of a modified λ-differential left-symmetric algebra. Moreover, we introduce the notion of modified λ-differential left-symmetric 2-algebras, which is the categorization of a modified λ-differential left ...
Fuyang Zhu, Taijie You, Wen Teng
doaj   +1 more source

Differentiation along algebras

Manuscripta Mathematica, 1971
The convergence of the generalized derivatives of a sequence of finitely additive set functions along a sequence of algebras is proved very simply by using only the maximal inequality. This gives a purely measure-theoretical proof and extension of the semi-martingale convergence theorems.
openaire   +2 more sources