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.

Verbal Communication is linked with the social event no matter how different Communities in their cultures and styles of living and it's intuitions and political systems remain involved in its need . It is a dialogue , a pillar of human Communication , all Communication process conditional on the where a bouts of the shrine and the cycle of words . Semiotics is based on two principles important to Communicate : one : offer intended to report to the speaker . And the other : The recipient of the message a (know led gment of this intent . And learn to measure intent rely on two types of units ; first is the evidence for which is available for reporting the intent and the other : Signals . semiotics Communicate evidence bother as a channel

Most of the texts of Islamic law provide for the payment of damage and the denial of the human ... Damage of all kinds of material and moral, which is in the harm that affects the human being in himself or his offer or money or other affairs respected by Sharia. A person can defend himself, his mind, his religion, his offer and his money (the five imperatives) as much as he can. Islam rejects violence directed without a legitimate right and does not endorse aggression against others. Violence has been defined in language as a lack of compassion or against it or is a reprimand, bashing, and the blame ... It is in psychology: human behavior tainted by cruelty, oppression, and aggression, and is defined politically: it is deliberate civil d

The nuclear charge density distributions, form factors andcorresponding proton, charge, neutron, and matter root mean squareradii for stable 4He, 12C, and 16O nuclei have been calculated usingsingle-particle radial wave functions of Woods-Saxon potential andharmonic-oscillator potential for comparison. The calculations for theground charge density distributions using the Woods-Saxon potentialshow good agreement with experimental data for 4He nucleus whilethe results for 12C and 16O nuclei are better in harmonic-oscillatorpotential. The calculated elastic charge form factors in Woods-Saxonpotential are better than the results of harmonic-oscillator potential.Finally, the calculated root mean square radii usingWoods-Saxonpotentials ho

The Co (II), Ni (II) ,Cu(II), Zn(II) ,Cd(II) and Hg(II) complexes of mixed of amino acid (L-Alanine ) and Trimethoprim antibiotic were synthesized. The complexes were characterized using melting point, conductivity measurement and determination the percentage of the metal in the complexes by flame (AAS). Magnetic susceptibility, Spectroscopic Method [FT-IR and UV-Vis]. The general formula have been given for the prepared mixed ligand complexes [M(Ala)2(TMP)(H2O)] where L- alanine (abbreviated as (Ala ) = (C5H9NO2) deprotonated primary ligand, L- Alanine ion .= (C5H8NO2-) Trimethoprim (abbreviated as (TMP ) = C10H11N3O3S M(II) = Co (II),Ni(II) ,Cu(II), Zn(II) ,Cd(II) and Hg(II). The results showed that the deprotonated L- Alanine b