Hogar Yaseen

Hogar Yaseen
Salahaddin University - Erbil | SUH · Department of Mathematics

PhD

About

7
Publications
254
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Citations
Introduction
Biography I am Dr. Hogir Mohammed Yaseen, Lecturer in the Department of Mathematics, College of Education, Salahaddin University-Erbil, Iraq. My specific specialization is representations of Lie algebras. 2018 PhD, University of Leicester, United Kingdom. 2010 MSc, Salahaddin University-Erbil, Iraq. 2007 BSc, Salahaddin University-Erbil, Iraq. During my work in Salahaddin University University, I have taught several courses at all the four undergraduate levels such as • Abstract Algebra • Foundations of Mathematics • Axiomatic Systems and Geometry • Calculus.• see https://academics.su.edu.krd/hogr.yaseen
Additional affiliations
August 2010 - present
Salahaddin University - Erbil
Position
  • Lecturer
Description
  • My specific specialization is representations of Lie algebras. 2018 PhD, University of Leicester, United Kingdom. 2010 MSc, Salahaddin University-Erbil, Iraq. 2007 BSc, Salahaddin University-Erbil, Iraq.

Publications

Publications (7)
Article
A Lie algebra L is said to be (Θn,sln)-graded if it contains a simple subalgebra g isomorphic to sln such that L is generated by g as an ideal and the g-module L decomposes into copies of the adjoint module, the trivial module, the natural module V, its symmetric and exterior squares S2V and , and their duals. In Yaseen (Generalized Root Graded Lie...
Article
A Lie algebra L is said to be (Θn,sln)-graded if it contains a simple subalgebra g isomorphic to sln such that the g-module L decomposes into copies of the adjoint module, the trivial module, the natural module V, its symmetric and exterior squares S2V and ∧2V and their duals. We describe the multiplicative structures and the coordinate algebras of...
Thesis
Let g be a non-zero finite-dimensional split semisimple Lie algebra with root system ∆. Let Γ be a finite set of integral weights of g containing ∆ and {0}. We say that a Lie algebra L over F is generalized root graded, or more exactly (Γ,g)-graded, if L contains a semisimple subalgebra isomorphic to g, the g-module L is the direct sum of its weigh...
Article
We study Lie algebras $L$ containing a simple subalgebra $g$ isomorphic to $sl_{n}$ such that the $g$-module $L$ decomposes into copies of the adjoint module, the trivial module, the natural module $V$, its symmetric and exterior squares $S^{2}V$ and $\wedge^{2}V$ and their duals. We describe the multiplicative structure of $L$ and its coordinate a...
Article
In this paper, we study Smarandache (S) specialdefinite rings and Smarandache (S)specialdefinite fields. We givecharacterizations of a S-special definite ringanda S-special definite field and determine some properties of each of them and obtain some result.
Article
In this paper, we study Smarandache special definite groups. We give necessary and sufficient conditions for a group to be Smarandache special definite group(S-special definite group). Moreover we study Smarandache special definite subgroups, Smarandache special definite maximal ideals, Smarandache special definite minmal ideals.

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Projects

Project (1)
Project
In this paper, we study Smarandache special definite groups. We give necessary and sufficient conditions for a group to be Smarandache special definite group(S-special definite group). Moreover we study Smarandache special definite subgroups, Smarandache special definite maximal ideals, Smarandache special definite minmal ideals.