This paper seeks to study the theory of ‘asabiyyah by Ibn Khaldun, a well-known North African historiographer from 14th century. It examines Ibn Khaldun’s original thoughts on ‘asabiyyah and how he did retool it fo...This paper seeks to study the theory of ‘asabiyyah by Ibn Khaldun, a well-known North African historiographer from 14th century. It examines Ibn Khaldun’s original thoughts on ‘asabiyyah and how he did retool it for the beneficial purposes. At the same time, the paper tries to compare the term of ‘asabiyyah as proposed by Ibn Khaldun with the interpretation made by the West in the current world. This study also will give some inputs on the implementation of Ibn Khaldun’s theory of ‘asabiyyah, and it will expose how the theory could benefit the Muslim civilization to soar as a great nation. The descriptive method has been used in this study to present the right information about Ibn Khaldun and his theory. It is hoped that this study could enhance our understanding on the term of ‘asabiyyah in its positive connotation, as the term has been recognized negatively among people today.展开更多
Ibn Batuta＇s book The Rihla gives us a unique insight into life of a 14th C travelling scholar in the golden age of Dar AI Islam （the world of Islam）. This paper is a reflection on Ibn Battuta focusing on three cur...Ibn Batuta＇s book The Rihla gives us a unique insight into life of a 14th C travelling scholar in the golden age of Dar AI Islam （the world of Islam）. This paper is a reflection on Ibn Battuta focusing on three curious things we don＇t know about him. First, we don＇t know what he looks like--what does this tell us about visual culture, ethnicity and the idea of self-image in 14th Century. Second, we don＇t know if he really went to China--if not why would this section be included？ Third, we don＇t know how his story became lost to history, which it certainly was for close to 400 years--what does this tell us about the man, the book, it＇s intended audience and the changes happening within Dar AI Islam at that time.展开更多
Recognized worldwide as one of the best scholars on Ibn Khaldoun,Abdesselam Cheddadi wrote a detailed and thrilling account of the life of the famous Arab historian.The author faithfully conveys Khaldoun's charact...Recognized worldwide as one of the best scholars on Ibn Khaldoun,Abdesselam Cheddadi wrote a detailed and thrilling account of the life of the famous Arab historian.The author faithfully conveys Khaldoun's character traits and personality and sometimes dramatic events that marked his dual political and intellectual career.展开更多
在环论研究中,IBN(不变基数)性质(参见文献[1])是一个非常重要的性质,只有在IBN环上的自由模才可定义其维数和秩,IBN环在代数K-理论和拓扑学中也有应用.另一方面,Morita系统环(ring of Morita context)是一个包含众多环类的非交换环,如...在环论研究中,IBN(不变基数)性质(参见文献[1])是一个非常重要的性质,只有在IBN环上的自由模才可定义其维数和秩,IBN环在代数K-理论和拓扑学中也有应用.另一方面,Morita系统环(ring of Morita context)是一个包含众多环类的非交换环,如矩阵环、自同态环和环的Morita等价等,它的IBN性引起人们的兴趣.本文证明了若M为有限生成右S-模,N为有限生成左S-模,则T为IBN环当且仅当R或S为IBN环.这一结果使许多重要的已知结论成为特例.展开更多
Let R be a ring with an identity element.R∈IBN means that R<sup>m</sup>■R<sup>n</sup> implies m=n,R ∈IBN<sub>1</sub> means that R<sup>m</sup> ■R<sup>n</sup&...Let R be a ring with an identity element.R∈IBN means that R<sup>m</sup>■R<sup>n</sup> implies m=n,R ∈IBN<sub>1</sub> means that R<sup>m</sup> ■R<sup>n</sup>⊕K implies m≥n,and R ∈IBN<sub>2</sub> means that R<sup>m</sup>■R<sup>m</sup>⊕K implies K=0.In this paper we give some characteristic properties of IBN<sub>1</sub> and IBN<sub>2</sub>,with orderings o the Grothendieck groups.In addition,we obtain the following results:（1）If R ∈IBM<sub>1</sub> and all finitely generated projective left R-modules are stably free,then the Grothendieck group K<sub>o</sub>（R）is a totally ordered abelian group.（2）If the pre-ordering of the Grothendieck group K<sub>o</sub>（R）of a ring R is a partial ordering,then R ∈IBM<sub>1</sub> or K<sub>o</sub>（R）=0.展开更多
文摘This paper seeks to study the theory of ‘asabiyyah by Ibn Khaldun, a well-known North African historiographer from 14th century. It examines Ibn Khaldun’s original thoughts on ‘asabiyyah and how he did retool it for the beneficial purposes. At the same time, the paper tries to compare the term of ‘asabiyyah as proposed by Ibn Khaldun with the interpretation made by the West in the current world. This study also will give some inputs on the implementation of Ibn Khaldun’s theory of ‘asabiyyah, and it will expose how the theory could benefit the Muslim civilization to soar as a great nation. The descriptive method has been used in this study to present the right information about Ibn Khaldun and his theory. It is hoped that this study could enhance our understanding on the term of ‘asabiyyah in its positive connotation, as the term has been recognized negatively among people today.
文摘Ibn Batuta＇s book The Rihla gives us a unique insight into life of a 14th C travelling scholar in the golden age of Dar AI Islam （the world of Islam）. This paper is a reflection on Ibn Battuta focusing on three curious things we don＇t know about him. First, we don＇t know what he looks like--what does this tell us about visual culture, ethnicity and the idea of self-image in 14th Century. Second, we don＇t know if he really went to China--if not why would this section be included？ Third, we don＇t know how his story became lost to history, which it certainly was for close to 400 years--what does this tell us about the man, the book, it＇s intended audience and the changes happening within Dar AI Islam at that time.
文摘Recognized worldwide as one of the best scholars on Ibn Khaldoun,Abdesselam Cheddadi wrote a detailed and thrilling account of the life of the famous Arab historian.The author faithfully conveys Khaldoun's character traits and personality and sometimes dramatic events that marked his dual political and intellectual career.
文摘在环论研究中,IBN(不变基数)性质(参见文献[1])是一个非常重要的性质,只有在IBN环上的自由模才可定义其维数和秩,IBN环在代数K-理论和拓扑学中也有应用.另一方面,Morita系统环(ring of Morita context)是一个包含众多环类的非交换环,如矩阵环、自同态环和环的Morita等价等,它的IBN性引起人们的兴趣.本文证明了若M为有限生成右S-模,N为有限生成左S-模,则T为IBN环当且仅当R或S为IBN环.这一结果使许多重要的已知结论成为特例.
基金Supported by National Nature Science Foundation of China.
文摘Let R be a ring with an identity element.R∈IBN means that R<sup>m</sup>■R<sup>n</sup> implies m=n,R ∈IBN<sub>1</sub> means that R<sup>m</sup> ■R<sup>n</sup>⊕K implies m≥n,and R ∈IBN<sub>2</sub> means that R<sup>m</sup>■R<sup>m</sup>⊕K implies K=0.In this paper we give some characteristic properties of IBN<sub>1</sub> and IBN<sub>2</sub>,with orderings o the Grothendieck groups.In addition,we obtain the following results:（1）If R ∈IBM<sub>1</sub> and all finitely generated projective left R-modules are stably free,then the Grothendieck group K<sub>o</sub>（R）is a totally ordered abelian group.（2）If the pre-ordering of the Grothendieck group K<sub>o</sub>（R）of a ring R is a partial ordering,then R ∈IBM<sub>1</sub> or K<sub>o</sub>（R）=0.
