in recent years cryptography has played a big role especially in computer science for information security block cipher and public

Let R be a commutative ring with identity, and let M be a unitary left R-module. M is called Z-regular if every cyclic submodule (equivalently every finitely generated) is projective and direct summand. And a module M is F-regular if every submodule of M is pure. In this paper we study a class of modules lies between Z-regular and F-regular module, we call these modules regular modules.

Inˑthis work, we introduce the algebraic structure of semigroup with KU-algebra is called KU-semigroup and then we investigate some basic properties of this structure. We define the KU-semigroup and several examples are presented. Also,we study some types of ideals in this concept such as S-ideal,k- ideal and P-ideal.The relations between these types of ideals are discussed and few results for product S-ideals of product KU-semigroups are given. Furthermore, few results of some ideals in KU-semigroup under homomorphism are discussed.

The spectroscopic properties, potential energy curve, dipole moments, total charge density, Electrostatic potential as well as the thermodynamic properties of selenium diatomic halides have been studied using code Mopac.7.21 and hyperchem, semi-empirical molecular orbital of MNDO-method (modified neglected of differential overlap) of parameterization PM3 involving quantum mechanical semi-empirical Hamiltonian. The relevant molecular parameters like interatomic distance, bond angle, dihedral angle and net charge were also calculated.

الهدف من الدراسه تحضير فئه جديده من بوليمرات السليكون P1-P4  والتي تمت على اساس استحدام ثنائي مثيل ثنائي كلورو سيلان((DCDMS مع بعض المركبات العضويه التي تحتوي مجاميع الهيدروكسيل  الطرفيه والتي حضرت لاول مره M1-M4،  بأستخدم البلمره التكثيفيه .كما تم تحضير متراكباتها النانويهP′1-P′4  بوجود جسيمات الفضه النانويه (Ag-NPs)  باستخدام طريقة صب المحاليل. شخصت جميع التراكيب للمونمرات والبوليمرات المحضره باستخدام  مطيافية

   Pyrolysis of virgin polyethylene plastics was studied in order to produce hydrocarbon liquid fuel. The pyrolysis process carried out for low and high-density polyethylene plastics in open system batch reactor in temperature range of 370 to 450°C.

   Thermo-gravimetric analysis of the virgin plastics showed that the degradation ranges were between 326 and 495 °C. The results showed that the optimum temperature range of pyrolysis of polyethylene plastics that gives highest liquid yield (with specific gravity between 0.7844 and 0.7865) was 390 to 410 °C with reaction time of about 35 minutes. Fourier Transform Infrared spectroscopy gave a quite evidence that the produced hydrocarbon liquid fuel consisted ma

Background :The incidence of bile ducts injuries( BDI )has risen from) 0.1 to 0.2%( to) 0.4 to 0.6% ( between the era of open cholecystectomy( O C) and the age of laoaroscopic cholycystectomy( LC.) The aim of the study is to review the management and surgical outcome of the bile duct injuries in gastroenterology and hepatology teaching hospital .Methods: This study is Prospective, done in G.I.T hospital ,From January 2008 –to –February 2011, patients included in this study had prevouse history of cholecystectomy which followed by sign and symptoms of bile duct injures .Most patients have been reffered from other hospitals,supprting therapy were given to them and investigations performed to evaluate the the type of injureis ,minor inj