قرآن و حدیث کی روشنی میں تعمیر کردار و شخصیت اور نصاب اسلامیات: ایک تنقیدی مطالعہ

Islam gives the idea of collective life and tries for human development. The basic idea of the teaching of Islam is that the individual must be true and active worker of society. He must have moral values and principles clearly. In addition, he tries constantly that a Muslim should perform saying of Allah and human rights properly. In this way, Islam tries to work on the behavior, morality, and habits of people and tries his best to properly enhance the different aspects of personality.  For this, the life of Prophet Muhammad? Is a complete code of life. The good characteristics of Muslims are considered praiseworthy that are truth, brotherhood, justice, forgiveness, the oneness of Allah and keepings. In the same way, the things which are condemned by Islam are bride, misery, theft, backbiting, telling lies, blaming others, self-centeredness, close vision, dishonesty, garrulous, greediness, showiness manners, jealousy,  un-obligation, clashes, hatred and etc. The philosophy of character building and personality development in Islam is the Muslims should avoid all bad works and develops good qualities in him as discussed before so that a Muslim should be a very useful and pious citizen of society. And we all know that education especially we can say that Islamic Education is a tool of change. So education is worthless if it does not create change in the minds of people and society. It is useless if it does not build the moral character regarding the personality development of the students. Islam tells us all about the values which are fruitful for humanity and are beneficial to human beings. For this purpose, it is necessary that we should give awareness of Islamic values to the people through Islamic education. It is only possible if the textbooks are designed according to the Islamic concept and values as well as teachers and parents play their effective role in the development of the personality of their children. Pakistan is a Muslim country and has its own religious, moral, political and social values and being a Muslim through an effective Islamic educational system, we can transfer these values to our new generation. Our curriculum is playing key role in the personality development and character building of the students or not is the main question so that this article is being written. In this article keeping in view the aims and objectives of the curriculum of Islamic Studies and following the Quranic verses and Hadith, we will try to analyze whether it is building the personality or character of students or not. After that, the conclusion and recommendations will be given keeping in view the analysis.

Homological and Combinatorial Properties of Monomial Ideals and Their Powers

In this thesis we classify all unmixed monomial ideals I of codimension 2 which are generically a complete intersection and which have the property that the sym- bolic power algebra A(I) is standard graded. We give a lower bound for the highest degree of a generator of A(I) in the case that I is a modification of the vertex cover ideal of a bipartite graph, and show that this highest degree can be any given num- ber. We furthermore give an upper bound for the highest degree of a generator of the integral closure of A(I) in the case that I is a monomial ideal which is generically a complete intersection. Minh and Trung presented criteria for the Cohen-Macaulayness of a monomial ideal in terms of its primary decomposition. We extend their criteria to characterize √ the unmixed monomial ideals for which the equality depth(S/I) = depth(S/ I) holds. As an application we characterize all the pure simplicial complexes ∆ which have rigid depth, that is, which satisfy the condition that for every unmixed mono- √ mial ideal I ⊂ S with I = I ∆ one has depth(I) = depth(I ∆ ). It is shown that a squarefree principal Borel ideal satisfies the persistence prop- erty for the associated prime ideals. For the graded maximal ideal we compute the index of stability with respect to squarefree principal Borel ideals and determine their stable set of associated prime ideals.