Neshtiman N. Sulaiman

• Doctor of Education
• Assestance Professor at Salahaddin University-Erbil

In this paper, the concept of Jordan triple higher-homomorphisms on prime rings is introduced. A result of Herstein is extended on this concept from the ring into the prime ring. We prove that every Jordan triple higher-homomorphism of ring into prime ring is either triple higher-homomorphism or triple higher-anti-homomorphism of into .

In this paper, the concept of Jordan triple higher-homomorphisms on prime rings is introduced. A result of Herstein is extended on this concept from the ring into the prime ring. We prove that every Jordan triple higher-homomorphism of ring into prime ring is either triple higher-homomorphism or triple higher-anti-homomorphism of into .

This study introduce the concept of Jordan generalized triple higher (σ,τ)-homomorphisms and generalized triple higher (σ,τ)-anti-homomorphism on prime ring. In this paper we prove that every Jordan generalized triple higher (σ,τ)-homomorphism of ring R into prime ring R' is either generalized triple higher (σ,τ)-homomorphism or triple higher (σ,τ)...

In this paper we characterize a dependent element of a derivation on a semiprime Γ-ring M. It is shown that the dependent elements of a derivation d of a semiprime Γ-rings M are central, and it is proved that if a is a dependent element of a derivation d of M, then there exist ideals U and V of the semiprime Γ-ring M such that (i)U⨁V is an essentia...

In this paper, we will study some important results relating to the concept of generalized derivation in centrally prime ring to be commutative.

Let M be a 2- and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following: (i) d(U)⊂Z, (ii) d(U)⊂U and d 2 (U)=0, (iii) d(U)⊂U, d 2 (U)⊂Z.

Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U) ⊂ Z, (ii) d(U) ⊂ U and d 2 (U) = 0, (iii) d(U) ⊂ U , d 2 (U) ⊂ Z.

In this paper, we generalized some results concerning orthogonal derivations for a nonzero ideal of a semiprime Γ-ring. These results which are related to some results concerning product derivations on a Γ-rings. Mathematics Subject Classification: 16W25, 16Y30

This paper focuses on the performance of traffic mix which consists of both voice and data services. The paper deals with intra-frequency soft handover in a 3G networks where mobile stations are connected simultaneously to several base stations. The QoS of voice for mobile users in the mixed traffic environment is estimated. The results are compare...