In a previous work, Ali and Ghawi studied closed Rickart modules. The main purpose of this paper is to define and study the properties of y-closed Rickart modules .We prove that, Let  and   be two -modules such that  is singular. Then  is -y-closed Rickart module if and only if   Also, we study the direct sum  of  y-closed Rickart modules.

In this notion we consider a generalization of the notion of a projective modules , defined using y-closed submodules . We show that for a module M = M1M2 . If M2 is M1 – y-closed projective , then for every y-closed submodule N of M with M = M1 + N , there exists a submodule M`of N such that M = M1M`.

“La Femme: une présence invincible”
L'univers du dramaturge est très féminisé puisque Giraudoux donne volontiers la parole aux femmes, dont il fait des personnages de premier plan.
En fait la femme semble seule capable de sauver l'humanité par une mission plus générale qui la rend garante d'une équilibre de l'univers, pour préserver son amour, et son époux, la femme giralducienne peut sauvegarder la dignité d'une people, elle refuse sa ville soit fondée sur les mensonges, les hypocrisies.
Pourtant, la femme peut aussi être la cause de la guerre, elle est responsable des destructions aux mondes.
A Considérer l'ensemble des personnages crées par Giraudoux est frappé par l'omniprésence des femmes, par la gra

El Quijote no es sólo una novela para leer. Es también un acontecimiento
celebrado en todos los medios de expresión artísticos y literarios: la poesía, el
ensayo, la ilustración, la pintura, la escultura, las artes decorativas, la iconografía
popular, el humor.
Las figuras de Don Quijote y Sancho Panza, como arquetipos que entran a
formar parte de la vida cotidiana de las gentes, aparecen representados en miles de
cuadros, grabados, esculturas y tapices. El cine, el ballet y la ópera han sido y
siguen siendo espectáculos de acogida para nuestros personales. No faltan las obras
musicales que se inspiran en ellos y sus figuras aparecen representadas en objetos
tan variados como utensilios de cocina, vest

L'œuvre de fiction la plus ancienne qui nous soit restée, est aussi bien la première jamais écrite. L'épopée de Gilgamesh a été composée à l'aube de la civilisation mésopotamienne. Gilgamesh était le cinquième souverain après le déluge.

                      Sous son règne, trois millénaires environ avant Jésus-Christ, les Urukiens s’emparèrent des cités voisines, et formèrent ainsi ce que nous appellerions une petite nation. Pendant plus de deux mille ans, les civilisations du Proche-Orient ont fait de Gilgamesh leur héros épique. Il existe des

The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

Zora Neale Hurston's (1891-1960) is an outstanding African American
novelist, playwright, autobiographer and essayists. Her work is considered as an
important part of the African American and Harlem Literature.**** It represents a
milestone and a keystone in the African-American literary canon because it breaks
from the style of the previous works and makes a beginning of a new style. Hurston
shifts from the black works that stick to racial themes and sheds the light on new
aspects and themes in blacks' life especially on feminist themes. Her exceptional fame
culminates in her novel Their Eyes Were Watching God (1937). 1
Their Eyes Were Watching God examines with a great deal of artistry
the struggle of a black

Scenes of love constitute a large space within the orbit of the movies, so that there is almost no film (no matter what kind) void of these scenes, as they are associated with many dimensions and they constitute a major attraction for viewers, and thus the direction solutions and their connection to the director's vision constitute a large part in the process of employing signs to highlight what should be highlighted or to refer to it symbolically on the grounds that the director does not have full freedom in the transfer of scenes of love at all levels as they are in reality. The research included three sections within the theoretical framework:The first section: the concept of image and its rhetorical importance. This section discussed

Etre et Avoir Principaux auxiliaires de la langue francaise

Background: hair graying is an aging sign; it is associated with ischemic heart disease. Metabolic syndrome often associates with increased risk for atherosclerotic arterial disease.
Objective: To test retrospectively the association between onset of hair graying and risk of metabolic syndrome.
Methods: Four hundred and eighty one gray hair individuals, with no history of atherosclerotic diseases were included. The individuals have been divided into metabolic syndrome and control groups. Each individual was asked about the decade (2nd-6th) of onset of hair grayness.
Results: Patients with metabolic syndrome had peak onset of hair grayness in the 4th decade which was statistically higher than the control