Praise be to God, who said: {And establish prayer and pay zakat and lend to God a good loan, and whatever good you put forward for yourselves you will find with God. It is better and greater in reward. Ask forgiveness of God. Indeed, God is Forgiving, Most Merciful. May blessings and peace be upon Muhammad, the servant of God, and His Messenger, may God bless him and grant him peace, who said: “Islam is built on five Testifying that there is no god but God and that Muhammad is the Messenger of God, establishing prayer, paying zakat, Hajj, and fasting Ramadan” ().
Now that follows: Islamic law aims to make man happy in this world and the afterlife, starting with faith in God Almighty until the end of the legal obligations. This is attested to by the words of God Almighty: {Whoever does righteousness, whether male or female, and is a believer - We will surely give him a good life and We will reward him. Their reward is for the best of what they used to do} and the Almighty says : {And it will be said to those who fear, “What has your Lord sent down?” They say, “Good.” For those who do good in this world is good, and the abode of the Hereafter is better. And most excellent is the abode of the righteous.) {Jinn They will enter Eden. Underneath rivers flow. They have therein whatever they wish. Thus Allah rewards the righteous.}
There is no doubt that societies governed by God’s law have less crime, more virtue, security and love prevail, and social solidarity and a coming together of hearts based on God’s law, as was clear in the best centuries. Zakat is the third of the five pillars of Islam, and it has benefits for the rich. And the poor. Its benefit to the rich is that it brings blessing, growth, and purification to their wealth. It also brings good deeds to them for responding to the command of God Almighty. It also brings them happiness in both worlds if it is given sincerely, and indicates generosity and piety. Its benefit is for those who deserve it, as it relieves the severity of need from the pain of hunger, cold, illness, and envy, and encourages the call to God, such as jihad, strengthens the faith of the weak in faith, and alleviates distress for those in debt, and it is one of the means of preserving religion, life, money, and honor. The subject of this research is one of the types on which zakat is required, which is real estate prepared for sale and it is a commercial offering, and this is one of the most important types on which zakat is required. Because trade is one of the greatest sources of income for nations and individuals in all times, and its importance increases as societies become more civilized and financial dealings diversify. In this era, there has been a lot of dealing in commercial real estate projects prepared for sale, or for sale and lease. Questions have increased, and referendums have varied about the ruling on zakat on real estate prepared for sale. For sale. For this reason, we decided to research this topic in order to benefit and benefit our Muslim brothers. We ask God to help us in this, and to benefit from it. Indeed, He is capable of all things.
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Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever r  R, x  M, 0  r x  N implies x  N or r  (N:M). In fact this concept is a generalization of the concept weakly prime ideal, where a proper ideal P of R is called a weakly prime, if for all a, b  R, 0  a b  P implies a  P or b  P. Various properties of weakly prime submodules are considered.
Throughout this work we introduce the notion of Annihilator-closed submodules, and we give some basic properties of this concept. We also introduce a generalization for the Extending modules, namely Annihilator-extending modules. Some fundamental properties are presented as well as we discuss the relation between this concept and some other related concepts.
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The main goal of this paper is to introduce and study a new concept named d*-supplemented which can be considered as a generalization of W- supplemented modules and d-hollow module. Also, we introduce a d*-supplement submodule. Many relationships of d*-supplemented modules are studied. Especially, we give characterizations of d*-supplemented modules and relationship between this kind of modules and other kind modules for example every d-hollow (d-local) module is d*-supplemented and by an example we show that the converse is not true.
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A new class of generalized open sets in a topological space, called G-open sets, is introduced and studied. This class contains all semi-open, preopen, b-open and semi-preopen sets. It is proved that the topology generated by G-open sets contains the topology generated by preopen,b-open and semi-preopen sets respectively.
Let R be a commutative ring with identity and let M be a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of semi-essential submodules which introduced by Ali S. Mijbass and Nada K. Abdullah, and we make simple changes to the definition relate with the zero submodule, so we say that a submodule N of an R-module M is called semi-essential, if whenever N ∩ P = (0), then P = (0) for each prime submodule P of M. Various properties of semi-essential submodules are considered.
The aim of this paper is to introduces and study the concept of CSO-compact space via the notation of simply-open sets as well as to investigate their relationship to some well known classes of topological spaces and give some of his properties.
In the present paper, a simply* compact spaces was introduced it defined over simply*- open set previous knowledge and we study the relation between the simply* separation axioms and the compactness, in addition to introduce a new types of functions known as 𝛼𝑆 𝑀∗ _irresolte , 𝛼𝑆 𝑀∗ __𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠 and 𝑅 𝑆 𝑀∗ _ continuous, which are defined between two topological spaces.
In this paper, the concept of semi-?-open set will be used to define a new kind of strongly connectedness on a topological subspace namely "semi-?-connectedness". Moreover, we prove that semi-?-connectedness property is a topological property and give an example to show that semi-?-connectedness property is not a hereditary property. Also, we prove thate semi-?-irresolute image of a semi-?-connected space is a semi-?-connected space.