Biography

Education

2009-2013: (Ph. D in Algebra).  Department of Mathematics, College of Education, Salahaddin University-Erbil, Iraq.

 1992-1995: (M.Sc in Algebra). ( Department of Mathematics, College of Education, University of Al-Mustansria-Iraq.

 1984-1988: (B.Sc in Mathematics). Department of Mathematics, College of Education, Salahaddin University-Erbil, Iraq.

 

Scientific Title

2021 Assist. professor  of Mathematics, Department of Mathematics, College of Education, Salahaddin University-Erbil, Iraq. 

 

2013 Lecturer of Mathematics, Department of Mathematics, College of Education,  Salahaddin University-Erbil, Iraq.

1995 Assist. Lecturer of Mathematics, Department of Mathematics, College of Education, Salahaddin University-Erbil, Iraq. 

 

Research Interest

My Studies are Algebra focused on the derivation of semiprime  Γ-rings, Samarandache ring. 

Publications

1-      “Some Results on Smarandache concepts in Zn “, ZJPAS 21(1)(2009) , 9-15.

2-      “Smarandache Idempotents in Some Group Rings”, ZJPAS 22(1)(2010),100-106.

3-      “On orthogonal generalized derivation of semiprime Γ-rings”,  IJCSM. 4( 2) (2012), 113-122

4-    “Orthogonal derivations on an ideal of semiprime Γ-rings”, Int. Math. Forum,  7(28)( 2012) 1405 - 1412

5-      “On Dependent Elements and Free Action of Derivations in Semiprime Γ-rings”, Canadian J. Pure and Applied sciences , 6( 2)(2012) 2043-2047.

6-      “Lie ideals in prime Γ-rings with derivations”, DMGAA 33 (2013) 49-56.

7-      “Some results of reverse derivation on prime and semiprime Gamma rings”, DMGAA. 35 (2015)53-58.

8-      “On Generalized Derivations and Commutativity of Centrally Prime Rings”, SJPAS 18(4) ( Part -A)(2016). 

 

9-      "Co-Tripotent Elements", ZJPAS , 3(2019): 81-86

10-  "Generalized Jordan Triple (σ,τ) -Higher Homomorphisms on Prime Rings ", ANJS, 23(3)(2020):76-81.

 

11-  " Jordan Triple Higher ( σ, τ)-Homomorphisms on Prime Rings ", IJS, 23(3)(2020):76-81. 

 

Teaching

Undergraduate 

 Group Theory- Third year student - First Course

Ring Theory- Third year student - Second Course

 Research Project _ Fourth Year Student

Cad & Portfolio