Print ISSN: 1681-6900

Online ISSN: 2412-0758

Keywords : left


Theoretical Study of fractal shape material of negative refractive index

Amer Basim Shaalan; Sami salman chiad; Nadir Fadhil Habubi; Nidhal Nissan Jandow; Ammar Nadal Shareef

Engineering and Technology Journal, 2015, Volume 33, Issue 5, Pages 813-818

Advanced materials are artificial structure materials that exhibit properties not found in nature. Material that has a negative refractive index (left-handed materials) is found to get a lot of interest in the literatures. Controlling the geometry of classical material may lead to have a negative refractive index in a certain frequency range. In this paper, we utilized from fractal geometry in our design. A Sierpinski Carpet fractal model is proposed. Calculations show that this model has a negative refractive index in the frequency range 7.5 GHz – 16.5 GHz. Wide band behavior of this model refers to its fractal shape.

On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings

Abdulrahman H. Majeed; Anwar Khaleel Faraj

Engineering and Technology Journal, 2011, Volume 29, Issue 3, Pages 544-553

In this paper we generalize the result of S. Ali and C. Heatinger on left s -
centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free
prime ring, U is a Jordan ideal of R and G is an additive mapping from R into
itself satisfying the conditionG(ur + ru) = G(u)s (r) + G(r)s (u) , for all
uÎU, r ÎR . Then G(ur) = G(u)s (r) , for all uÎU, r ÎR . Also, we extend the
result of S. M. A. Zaidi, M. Ashraf and S. Ali on left (s ,s )-derivation of prime ring
to Jordan ideal by introducing the concept of generalized Jordan left (s ,t )-
derivation.