The Special Class for the Gifted Young(SCGY) is an educational model created by the University of Science and Technology of China(USTC) during a special historical period. It aims at selecting and cultivating young ta...The Special Class for the Gifted Young(SCGY) is an educational model created by the University of Science and Technology of China(USTC) during a special historical period. It aims at selecting and cultivating young talent in the natural sciences. Significantly, the establishment of the SCGY in 1978 marked the beginning of higher education reform in China after the ‘Cultural Revolution’(1966–1976) and promoted the development of education. Currently, there are only a few general descriptions of how the SCGY was established. In research for this paper, we used many sources, including archives, personal diaries and interview records, to uncover the process leading to the establishment of the SCGY. We also investigated the reason why the SCGY was first established at USTC.展开更多
Let T be a right exact functor from an abelian category B into another abelian category A.Then there exists a functor p from the product category A×B to the comma category(T↓A).In this paper,we study the propert...Let T be a right exact functor from an abelian category B into another abelian category A.Then there exists a functor p from the product category A×B to the comma category(T↓A).In this paper,we study the property of the extension closure of some classes of objects in(T↓A),the exactness of the functor p and the detailed description of orthogonal classes of a given class p(X,Y)in(T↓A).Moreover,we characterize when special precovering classes in abelian categories A and B can induce special precovering classes in(T↓A).As an application,we prove that under suitable conditions,the class of Gorenstein projective leftΛ-modules over a triangular matrix ringΛ=(R M 0 S)is special precovering if and only if both the classes of Gorenstein projective left R-modules and left S-modules are special precovering.Consequently,we produce a large variety of examples of rings such that the class of Gorenstein projective modules is special precovering over them.展开更多
文摘The Special Class for the Gifted Young(SCGY) is an educational model created by the University of Science and Technology of China(USTC) during a special historical period. It aims at selecting and cultivating young talent in the natural sciences. Significantly, the establishment of the SCGY in 1978 marked the beginning of higher education reform in China after the ‘Cultural Revolution’(1966–1976) and promoted the development of education. Currently, there are only a few general descriptions of how the SCGY was established. In research for this paper, we used many sources, including archives, personal diaries and interview records, to uncover the process leading to the establishment of the SCGY. We also investigated the reason why the SCGY was first established at USTC.
基金supported by National Natural Science Foundation of China (Grant Nos. 11671069 and 11771212)Zhejiang Provincial Natural Science Foundation of China (Grant No. LY18A010032)+1 种基金Qing Lan Project of Jiangsu Province and Jiangsu Government Scholarship for Overseas Studies (Grant No. JS2019-328)during a visit of the first author to Charles University in Prague with the support by Jiangsu Government Scholarship
文摘Let T be a right exact functor from an abelian category B into another abelian category A.Then there exists a functor p from the product category A×B to the comma category(T↓A).In this paper,we study the property of the extension closure of some classes of objects in(T↓A),the exactness of the functor p and the detailed description of orthogonal classes of a given class p(X,Y)in(T↓A).Moreover,we characterize when special precovering classes in abelian categories A and B can induce special precovering classes in(T↓A).As an application,we prove that under suitable conditions,the class of Gorenstein projective leftΛ-modules over a triangular matrix ringΛ=(R M 0 S)is special precovering if and only if both the classes of Gorenstein projective left R-modules and left S-modules are special precovering.Consequently,we produce a large variety of examples of rings such that the class of Gorenstein projective modules is special precovering over them.
