4 citations · 6 across the 8 of their papers we have counts for
8 papers
Representations of Color Lie Superalgebras by Hilbert Series
Shadi Shaqaqha
The representations of various color Lie superalgebras by Hilbert series are the main topic of this work. The Color Lie superalgebras appear in various branches of mathematics (e.g…
Growth of the dimension of the homogeneous components of Color Lie Superalgebras
Shadi Shaqaqha
The growth of the dimension of the homogeneous components of algebra is an essential topic in algebraic geometry and commutative algebra. In this context, the homogeneous component…
Extraction Algorithm of Hom-Lie Algebras Based on Solvable and Nilpotent Groups
Shadi Shaqaqha, Nadeen Kdaisat
Hom-Lie algebras are generalizations of Lie algebras that arise naturally in the study of nonassociative algebraic structures. In this paper, the concepts of solvable and nilpotent…
Fuzzy Hom-Lie Ideals of Hom-Lie Algebras
Shadi Shaqaqha
In this paper, we introduce the concept of fuzzy Hom-Lie subalgebras (ideals) of Hom-Lie algebras and we investigate some of their properties. We study the relationship between fuz…
Grading and Filtrations of Gamma Rings
Shadi Shaqaqha, Afnan Dagher
The aim of this paper is to introduce and study graded and filtered gamma rings and gamma modules. We prove that the filtered -ring (module) is a generalization of the notion of…
On Fuzzification of n-Lie Algebras
Shadi Shaqaqha
The aim of this paper is to introduce the notion of intuitionistic fuzzy Lie subalgebras and intutionistic fuzzy Lie ideals of n-Lie algebras. It is a generalization of intuitionis…
Complex fuzzy Lie Algebras
Shadi Shaqaqha
A complex fuzzy Lie algebra is a fuzzy Lie algebra whose membership function takes values in the unit circle in the complex plane. In this paper, we deine the complex fuzzy Lie sub…
Restricted Hom-Lie Superalgebras
Shadi Shaqaqha
The aim of this paper is to introduce the notion of restricted Hom- Lie superalgebras. This class of algebras is a generalization of both restricted Hom-Lie algebras and restricted…