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B.Sc.: Science of Mathematics/ Mathematics Dept., College of Education/ University of Baghdad/ Iraq/ 1997.

M.Sc: Algebraic Topplogy/ Mathematics Dept., College of Science/ Al- Mustansiriya University / Iraq/ 2000.

Algebra/ Dept. of Applied Sciences / University of Technology / Iraq/ 2006.

Algebra.

A. K. Faraj, C. Hatinger and A. H. Majeed, "Generalized higher (U,R)-derivations", JP Journal of Algebra, Number theory and applications, Vol. 16, no. 2, pp: 119-142, 2010.

Anwar Khaleel Faraj," On generalized (θ,υ)- reverse derivations of prime rings", Iraqi Journal of Science, pp: 218- 224, 2011.

Anwar Khaleel Faraj, Abdulrahman H. Majeed, On generalized (θ,υ) -higher derivations and generalized (U,R)-(θ ,υ ) -higher derivations of prime rings, Iraqi Journal of Science, Vol 53, no 2,Pp: 410-418, 2012.

Anwar Khaleel Faraj, Abdulrahman H. Majeed," On left σ- centralizers of Jordan ideals and generalized Jordan left (σ,τ) - derivations of prime rings", Eng. & Tech. Journal, Vol.29, no.3, pp: 544-553, 2011.

. Salmman. S. A., Faraj, A.K. and Dawood, A. S., "Different realizations of Stasheff Polytope", International Journal of Applied Mathematics &Statistical Science, pp: 9-16, 2014.

Anwar K. Faraj, Abdulrahman H. Majeed," On higher N- derivations of prime ring", Baghdad Science Journal, Vol. 11, no. 2, pp: 211-219, 2014.

Salmman. S. A., Faraj, A.K. and Dawood, A. S., "The Relationship between the Stasheff Polytope and Painted Trees Using Tubings", Eng. &Tech.Journal, Vol.34, Part (B), No.1, 2016.

Anwar K. Faraj, Sabreen J.Shareef, "Generalized Permuting 3- Derivations of Prime Rings", Iraqi Journal of Science, Vol. 57, No.3C, pp: 2312-2317, 2016.

Anwar K. Faraj, Sabreen J.Shareef, " Jordan Permuting 3- Derivations of Prime Rings", Vol. 58, No.2A, pp: 687-693, 2017.

Anwar Kh. Faraj, Areej M. Abduldaim, Shatha A. Salman and Nadia. M. G. Al-Saidi, "An Interactive Proof via Some Generalized Reduced Rings", International Conference on Current Research in Computer Science and Information Technology (ICCIT), Slemani – Iraq, pp: 42-47, 2017.

Anwar Khaleel Faraj and Sabreen J. Shareef," On Traces of Generalized Permuting 3- Derivations on Lie ideals ", the first international scientific conference of Iraqi Al-Khawarizmi Society 28-29 March 2018.

N. M. G. AL-Saidi, M. A. Magamiss, S. F. Ibraheem and A. KH. Faraj, " A new algorithm for signed binary representation and application in mobile phones",J. Math. Comput. Sci. 8 (2018), no.1, pp:130-152.

Shatha A. Salman Sama F. Ibraheem, Anwar k. Faraj and NadiaM.G. Al-Saidi," Secure Authentication Protocol Based on the Generated Magic Square ",the first international scientific conference of Iraqi Al-Khawarizmi Society 28-29 March 2018

A. K. Faraj, A. H. Majeed, C. Haetinger and Nadeem-ur Rehman," On Generalized Jordan Higher Homomorphisms",Palestine Journal of Mathematics, Vol. 3(Spec 1), pp: 406–421, 2014.

A. K. Faraj and S. J. Shareef, " On Generalized Permuting Left 3-Derivations of Prime Rings", Engineering and Technology Journal Vol. 35, Part B, no. 1,pp: 25-28, 2017.

Anwar Khaleel Faraj, Ruqaya Saadi Hashem," On Skew Left ∗- -Derivations of ∗-Ring"Iraqi Journal of Science, Vol. 59, No.4B, pp: 2100-2106, 2018.

Anwar Khaleel Faraj, Ruqaya Saadi Hashem," On Skew Left n-Derivations with Lie Ideal Structure",

Baghdad Science Journal, Vol.16, no. 2, pp: 389-394, 2019.

Maiada N. Mohmmedali Areej M. Abduldaim Anwar Khaleel Faraj, " Trivial Extension of Armendariz Rings and Related Concepts", Journal of AL-Qadisiyah for computer science and mathematics, Vol.10, no.3, pp: 73-79, 2018.

Anwar Khaleel Faraj , Ruqaya Saadi Hashem, " Some Results on Symmetric Reverse ∗- -Derivations ", Journal of Al- Qadisiyah for Computer Science and Mathematics, Vol.11, no. 3, pp Math.1–11, 2019.

Anwar Khaleel Faraj, Marwa Hadi Sapur, "On Symmetric Higher (U, �)-n-Derivation of Prime Rings", Journal of Al- Qadisiyah for Computer Science and Mathematics, Vol. 25, no. 2, pp. Math.40–50, 2020.

Anwar Khaleel Faraj, Marwa Hadi Sapur, "Reverse Symmetric Left ∗- ?-Multiplier with Involution", International Journal of Latest Engineering and Management Research, Vol. 5 , no. 7 , PP. 58-63, 2020.

Anwar Khaleel Faraj, Marwa Hadi Sapur, "On Symmetric n- Multipliers of Semiprime Rings ", International Journal of Latest Engineering and Management Research, Vol. 5 , no. 8 , PP. 01-06, 2020.

Anwar Khaleel Faraj, Areej M. Abduldaim, "Some Results Concerning Multiplicative (Generalized)-Derivations and Multiplicative Left Centralizers", International Journal of Mathematics and Computer Science, Vol. 15, no. 4 , PP.1073– 1090, 2020.

Anwar Khaleel Faraj, Areej M. Abduldaim, " Commutativity and Prime Ideals with Proposed Algebraic Identities", International Journal of Mathematics and Computer Science, Vol. 16, no. 4 , PP. 1607–1622 , 2021.

Undergraduate :-

Calculus (1st class).

Calculus (2st class).

Differential Equations (2nd class) .

Differential Equations and Stability (3rd class).

Advanced Mathematics (3rd class) for Scientific and Engineering Department.

Abstract Algebra (3rd class).

Postgraduates Courses :-

Algebraic Coding Theory.

Many thanks and appreciation certificate from the university president and head of the department.