Zobrazeno 1 - 10
of 421
pro vyhledávání: '"A Sadraoui"'
The interplay between derivations and algebraic structures has been a subject of significant interest and exploration. Inspired by Yau's twist and the Leibniz rule, we investigate the formal deformation of twisted Lie algebras by invertible derivatio
Externí odkaz:
http://arxiv.org/abs/2406.13422
This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified version and closely related to the classical Rota-Baxter operator, has garne
Externí odkaz:
http://arxiv.org/abs/2404.00627
In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight $\mathrm{\lambda}$ with derivations (or simply modified Rota-Baxter LieDer pairs) and their representations. Moreover, we investigate cohomologies of a modifie
Externí odkaz:
http://arxiv.org/abs/2403.08095
The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with derivations. First we introduce a notion of weighted Rota-Baxter LieDer an
Externí odkaz:
http://arxiv.org/abs/2402.06272
Autor:
Sadraoui, Aymen, Martin, Ségolène, Barbot, Eliott, Laurent-Bellue, Astrid, Pesquet, Jean-Christophe, Guettier, Catherine, Ayed, Ismail Ben
Publikováno v:
ISBI 2024 - 21st IEEE International Symposium on Biomedical Imaging, May 2024, Ath{\`e}nes, Greece
This paper presents a new approach for classifying 2D histopathology patches using few-shot learning. The method is designed to tackle a significant challenge in histopathology, which is the limited availability of labeled data. By applying a sliding
Externí odkaz:
http://arxiv.org/abs/2311.17740
A LieDer pair (respectively, an AssDer pair) is a Lie algebra equipped with a derivation (respectively, an associative algebra equipped with a derivation). A couple of LieDer pair structures on a vector space are called Compatible LieDer pairs (respe
Externí odkaz:
http://arxiv.org/abs/2311.14015
The present research paper investigates the intricate fields of Hom-Lie algebra and Hom-Lie coalgebra, providing a complete analysis of their key concepts and important examples. Precisely, the paper introduces the concept of Hom-Lie coderivation pai
Externí odkaz:
http://arxiv.org/abs/2307.00460
In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its inverse is also a derivation. We define InvDer Lie algebras, InvDer associated algebras, InvDer z
Externí odkaz:
http://arxiv.org/abs/2306.16418
This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti algebra in detail, we also introduce the Maurer-Cartan characterizati
Externí odkaz:
http://arxiv.org/abs/2304.08082
Autor:
Houcine Sadraoui, Borhen Halouani
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 20043-20057 (2024)
We first describe commuting Toeplitz operators with harmonic symbols on weighted harmonic Bergman spaces. Then, a sufficient condition for hyponormality on weighted Bergman spaces of the punctured unit disk, when the analytic part of the symbol is a
Externí odkaz:
https://doaj.org/article/d7231dc077384ae89931de772a063b05
