Amir Baklouti

Amir Baklouti
Umm Al-Qura University · Department of the Preparatory Year

Associate Professor of Mathematics

About

16
Publications
2,185
Reads
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61
Citations
Citations since 2017
13 Research Items
54 Citations
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2017201820192020202120222023051015
Introduction
Amir Baklouti currently works at the Department of the Preparatory Year, Umm Al-Qura University. Amir does research in Geometry and Topology and Algebra.

Publications

Publications (16)
Article
Full-text available
The economical decision of whether leasing or selling used vehicles remains a challenging task for several enterprises that are willing to renew their fleet of vehicles. We consider a fleet of used vehicles of different types (Diesel, Electric, Hybrid, …). Considering demand from different prospects interested in leasing a number of second-hand veh...
Article
This paper focuses on semi-simple Jordan triple systems. We prove that a Jordan triple system is semi-simple if and only if its Casimir operator is nondegenerate. Moreover, we show that a pseudo-Euclidean Jordan triple system is semi-simple (resp. simple) if and only if its index is equal to the number of its simple ideals (resp. equal to one). As...
Article
We establish in this paper the equivalence between the existence of a solution of the Yang Baxter equation of a Jordan superalgebras and that of symplectic form on Jordan superalgebras.
Article
Let A be a positive bounded operator on an infinite dimensional complex and separable Hilbert space \(({{\mathcal {H}}}, \left\langle , \right\rangle )\) and \({\mathfrak{A}}{:}{=}{{{\mathcal {B}}}}({{\mathcal {H}}})/{\mathcal {K}}({{\mathcal {H}}})\) be the Calkin algebra and \({\mathfrak{A}}'\) its dual; here \({\mathcal {K}}({{\mathcal {H}}})\)...
Preprint
Full-text available
In this paper, we define and develop a cohomology and deformation theories of Jacobi-Jordan algebras. We construct a cohomology based on two operators, called zigzag cohomology, and detail the low degree cohomology spaces. We describe the relationships between first and second cohomology groups with extensions and deformations. Moreover, we conside...
Chapter
t This chapter is the first investigation of the notion of double extension to triple systems. We appropriate this notion of double extension to quadratic Lie triple systems so that we give an inductive description of all quadratic Lie triple systems. Moreover, we prove that any Jordan triple system is either a T∗-extension of a Jordan triple syste...
Article
Full-text available
In this paper, we develop a preventive maintenance (PM) strategy for a solar photovoltaic system composed of solar panels functioning as a series system. The photovoltaic system is considered in a failed state whenever its efficiency drops below a predefined threshold or any electrical wiring element is damaged. In such a situation of failure, a mi...
Article
We study the structure of symplectic Jacobi-Jordan algebras. In particular, we give inductive descriptions of these algebras by introducing some processes of double extensions and their isometries. This paper also contains several interesting examples.
Article
Full-text available
In this work, We show that every Jordan triple system can be viewed as a T∗extension of another one or an ideal of co-dimension one of a Jordan triple system whose represent the T∗extension of another Jordan triple system. Moreover, several result involving the structure of quadratic Jordan triple systems are given.
Article
Hom-Lie triple systems endowed with a symmetric invariant nondegenerate bilinear form are called quadratic Hom-Lie triple systems. In this work, we introduce the notion of double extension of Hom-Lie triple systems so that we can give an inductive description of quadratic Hom-Lie triple systems.
Article
This paper is bringing a better knowledge of associative triple systems and their related algebraic structures. We prove that any associative triple system is either a T*-extension of an associative triple system or an ideal of codimension one of a T*-extension of an associative triple system. Morover, we give several information about the structur...
Article
Full-text available
Jordan superalgebras which are endowed with an even nondegenerate supersymmetric associative bilinear form are called pseudo-Euclidean Jordan superalgebras. In this work, we introduce the notion of T*-extension of Jordan superalgebras to give some examples of such superalgebras. The main result of this article is to give an inductive description of...
Article
A commutative associative algebra A is called symmetric symplectic if it is endowed with both an associative non-degenerate symmetric bilinear form B and an invertible B-antisymmetric derivation D. We give a description of the commutative associative symmetric symplectic -algebras by using the notion of T*-extension. Next, we introduce the notion o...
Article
Full-text available
A Jordan algebra J is said to be pseudo-euclidean if J is endowed with an associative non-degenerate symmetric bilinear form B. B is said an associative scalar product on J. First, we provide a description of the pseudo-euclidean Jordan K-algebras in terms of double extensions and generalized double extensions. In particular, we shall use this desc...

Questions

Question (1)
Question
Is the classification of Jordansuperalgebras endowed with a nondegenerate symmetric and invariant bilinear form of low dimension is interesting for this project?

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