Let be a ring. Given two positive integers and , an module is said to be -presented, if there is an exact sequence of -modules with is -generated. A submodule of a right -module is said to be -pure in , if for every -Presented left -module the canonical map is a monomorphism. An -module has the -pure intersection property if the intersection of any two -pure submodules is again -pure. In this paper we give some characterizations, theorems and properties of modules with the -pure intersection property.

The concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules was recently introduced by Omar A. Abdullah and Haibat K. Mohammadali in 2022, where he studies this concept and it is relationship to previous generalizationsm especially  2-Absorbing submodule and Quasi-2-Absorbing submodule, in addition to studying the most important Propositions, charactarizations and Examples. Now in this research, which is considered a continuation of the definition that was presented earlier, which is the Extend Nearly Pseudo Quasi-2-Absorbing submodules, we have completed the study of this concept in multiplication modules. And the relationship between the Extend Nearly Pseudo Quasi-2-Absorbing submodule and Extend Nearly Pseudo Quasi-2-Abs

Four genetic populations ( P1 , P2 , F1 , F2) were used in this study .
The parental cross in barley ( P1 barakq and P2 Pakistan ) was done . Many quantitative
pheno types were estimated such as plants length , tillers number , grains yield , capsules
number , the number of grains per capsule and the weight of 1000 grains . The results showed
significant differences in genetic variance values in the seconed filial generation ( F2) for all
the studied phenotypes : High values for the heritability were observed for all the studied
phenotypes .
These results indicated the effect of additive and non-additive genes on the quantitative
phenotypes . Finally , the selection of first generation can utilized for impro

     The aim of this investigation is to present the idea of  SAH – ideal , closed SAH – ideal and closed SAH – ideal with respect to an element ,  and s-  of BH – algebra .

We detail and show  theorems which regulate the relationship between these ideas and provide some examples in BH – algebra .

In this paper extensive examples and related counterexamples of the category of -skew -Armendariz rings are given. This category of rings regards a new generalization for the concepts of -skew Armendariz and skew -Armendariz rings. A ring is called -skew -Armendariz if for any ( ) Σ and ( ) Σ such that ( ) ( ) ( ), then ( ) ( ) for each and . First some general properties of -skew -Armendariz rings are studied and then relations between -skew -Armendariz rings and other related rings are investigated. Also various examples of non -skew -Armendariz rings are established.

The effect of SiO 2 ) Silica) on the dielectric and physical properties of Mnx-Ni1 -xFe2O4 ،، X=0.5 is studies. The samples are prepared by the conventional manufacturing
method. We found that the physical and dielectric properties of Mn-Ni ferrite change
considerably with the substituent samples .the variation of dielectric constant as a function of
frequency of ferrite system decrease with frequency increases and increase with the increase
the concentration of SiO 2 . It was found that the increase of SiO 2 concentration of all our
samples produce an increase in mass density and decrease with porosities

  A series of N- benzoyl  - 2 – alkyl -1- ( 2- thio – 1,3,4- thiadiazole -5- yl ) , have been synthesized from DL- α– amino acids , The methyl and sulfon thio ethers of these compounds were also prepared , representative samples of the prepared compounds were characterized from their IR- spectrum and elemental analysis .
 

In this paper we introduce and study the concepts of semisimple gamma modules , regular gamma modules and fully idempotent gamma modules as a generalization of semisimple ring. An module is called fully idempotent (semisimple , regular) if for all submodule of (every submodule is a direct summand, for each , there exists and such that . We study some properties and relationships between them.

      In this paper, we introduce the concept of a quasi-radical semi prime submodule. Throughout this work, we assume that    is a commutative ring with identity and  is a left unitary R- module. A  proper submodule  of  is called a quasi-radical semi prime submodule (for short Q-rad-semiprime), if     for   ,   ,and then  . Where   is the intersection of all prime submodules of .

The Contracts must be executed according to their content. Therefore, the parties must fulfill their obligations as stipulated in the contract content. If one of them Do not execute his obligations, his contractual responsibility is to breach the contractual content of his contract.

This principle does not differ in law, but the difference lies in what is wrong or not, as well as different ways to address this breach.

The breach is not limited to the failure of the parties to fulfill the obligations under the contract, but the description of the breach applies to the cases of non-implementation of obligations not mentioned in the contract - secondary obligations - and the liability is also contractual, by virtue of chargi