In this paper, we give a comprehensive study of min (max)-CS modules such as a closed submodule of min-CS module is min-CS. Amongst other results we show that a direct summand of min (max)-CS module is min (max)-CS module. One of interested theorems in this paper is, if R is a nonsingular ring then R is a max-CS ring if and only if R is a min-CS ring.
the Research problem entitled: (compound shapes in the work of the artist Max Ernst and Ali Najjar) the nature of the concept of compound shapes and mechanisms of functioning in contemporary art done. The research consisted of(4) four parts: the first part is dealing with the methodological framework of the Search represented the research problem , which is manifested through this study to reveal the technical features of the composite shapes, that linked achievement both artists (Max Ernst) and (Ali Al Najjar). Which is crystallized into two objectives as follows: 1 - Detection of the technical features of the composite shapes in the work of Max Ernst and Ali Al-Najjar.2 - Detection of similarities and differences in the recruitment of
... Show More
This study was conducted on five kinds of local soybean seeds (Ibaa, Hawija, Taqa.2, Lee74 and Hassan). The chemical analysis results showed that Hawija soybean has the highest percent of protein which was 38-08%, The amino acid percent was also higher than the other kinds(lysine, Thereonine and Tryptopham), and being 389,250,81 mg/gm nitrogen respectively Both amino acids were important for child nutrition. Hawija was selected, being the best for proteins and basic amino acids, and was utilized in preparation of the adjunct baby food formula. Eighteen formulas had been prepared by using soybean flour kind(Hawija), wheat flour kind (Abu gharib) and full fat powder milk (NIDO). Each formula contained 20% protein as recommended by F.A.O, W.
... Show More
The aim of this paper is introducing the concept of (ɱ,ɳ) strong full stability B-Algebra-module related to an ideal. Some properties of (ɱ,ɳ)- strong full stability B-Algebra-module related to an ideal have been studied and another characterizations have been given. The relationship of (ɱ,ɳ) strong full stability B-Algebra-module related to an ideal that states, a B- -module Ӽ is (ɱ,ɳ)- strong full stability B-Algebra-module related to an ideal , if and only if for any two ɱ-element sub-sets and of Ӽɳ, if , for each j = 1, …, ɱ, i = 1,…, ɳ and implies Ạɳ( ) Ạɳ( have been proved..
تكمن أهمية البحث من الاستفادة من تمرينات الخاصة بمساعدة استعمال أي جهاز تدريبي مثل استعمال جهاز (Vertimax) فإِنَّ هذهِ التدريبات تساعد في تطوير التحمل الخاص وفقًا لما يتطور من قدرات بدنية باستعمال هذا الجهاز، ومن هنا برزت مشكلة البحث انه من المهم للاعب ان يعمل على الروافع الجسم للحصول على اداء افضل في عملية الرمي والحصول على افضل انجاز لهذة الفعالية باستعمال جهاز تدريبي جديد حيث يسلط مقاومات متعددة في ان وا
... Show More
The concept of epiform modules is a dual of the notion of monoform modules. In this work we give some properties of this class of modules. Also, we give conditions under which every hollow (copolyform) module is epiform.
(1)
(1)
New types of modules named Fully Small Dual Stable Modules and Principally Small Dual Stable are studied and investigated. Both concepts are generalizations of Fully Dual Stable Modules and Principally Dual Stable Modules respectively. Our new concepts coincide when the module is Small Quasi-Projective, and by considering other kind of conditions. Characterizations and relations of these concepts and the concept of Small Duo Modules are investigated, where every fully small dual stable R-module M is small duo and the same for principally small dual stable.
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.
(1)