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20132018
most citedIsomorphism classes and invariants of low dimensional filiform Leibniz algebras

4 citations · 5 across the 5 of their papers we have counts for

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5 papers

math.GR2018

Universal -elasticity of generalized Moufang loops

A. O. Abdulkareem, J. O. Adeniran, A. A. A. Agboola +1

In this study we introduce -elasticity property for generalized Moufang loops. Necessary and sufficient conditions for -elasticity of generalized Moufang loops to be universa…

math.RA2017

Rigidity of some classes of Lie algebras in connection to Leibniz algebras

A. O. Abdulkareem, I. S. Rakhimov, SH. K. Said Hussain

In this paper we focus on algebraic aspects of contractions of Lie and Leibniz algebras. The rigidity of algebras plays an important role in the study of their varieties. The rigid…

math.RA2017

On generalization of Rad--module

Majid Muhammed Abed, Abd Ghafur Ahmad, A. O. Abdulkareem

This paper gives generalization of a notion of supplemented module. Here, we utilize some algebraic properties like supplemented, amply supplemented and local modules in order to o…

math.RA2016★ 1 cited

Derivations and Centroids of Four Dimensional Associative Algebras

A. O. Abdulkareem, M. A. Fiidow, I. S. Rakhimov

In this paper, we focus on derivations and centroids of four dimensional associative algebras. Using an existing classification result of low dimensional associative algebras, we d…

math.RA2013★ 4 cited

Isomorphism classes and invariants of low dimensional filiform Leibniz algebras

A. O. Abdulkareem, I. S. Rakhimov, S. K. Said Husain

In this study, we extend the result on classification of a subclass of filiform Leibniz algebras in low dimensions to dimensions seven and eight based on the technique used by Rakh…