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《Journal of Qufu Normal University(Natural Science)》 2010-04
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Duality of Comodules over a Group Coring

DONG Jing-cheng(College of Engineering,Nanjing Agricultural University,210031,Nanjing,Jiangsu,PRC)  
Let C be a G-A-coring,and MCfgp (respectively,CfgpM) be the category of right (respectively,left) C-comodules which are finitely generated and projective as right (respectively,left) A-modules.This paper proves that MCfgpand CfgpM are equivalent.Based on this fact,we obtain a pair of adjoint functors between the category of C-comodules and the category of certain modules.
【Fund】: supported by Agricultural Machinery Bureau Foundation of Jiangsu Province (GXZ08001)
【CateGory Index】: O153.3
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【References】
Chinese Journal Full-text Database 2 Hits
1 WEN Jie①,ZHANG Xiao-rong②(①PLA University of International Studies,210000;②PLA University of Science and Technology,210007,Nanjing,Jiangsu,PRC);Properties of Extensions of Symmetric Rings[J];Journal of Qufu Normal University(Natural Science);2011-02
2 DAI Li,DONG Jing-cheng(College of Engineering,Nanjing Agricultural University,210031,Nanjing,Jiangsu,PRC);Classification of a Class of Semisimple Hopf Algebras[J];Journal of Qufu Normal University(Natural Science);2011-03
【Citations】
Chinese Journal Full-text Database 1 Hits
1 JIANG Jing~①, WANG Ding-guo~②(① Department of Mathematics,Shandong Institute of Education,250013,Jinan;② College of Mathematics,Qufu Normal University,273165,Qufu,Shandong,PRC);The Generalization of Results for Coring on Duality[J];Journal of Qufu Normal University(Natural Science);2007-01
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 ZHANG Xiang①, WANG Ding-guo②(① Department of Mathematics,Zunyi Normal College,563000,Zunyi,Guizhou;② School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shangdong,PRC);Module Category over Weak T-coalgebra and Weak T-category[J];Journal of Qufu Normal University(Natural Science);2008-01
2 ZENG Li-jiang(Department of Mathematics,Zunyi Normal College,563002,Zunyi,Guizhou,PRC);The Construction of Automorphisms of Symmetric Group of Degree n[J];Journal of Qufu Normal University(Natural Science);2009-01
3 CAO Wu-qing①,WANG Ding-guo①,CHEN Wei-hua②(①School of Mathematical Sciences,Qufu Normal University,273165,Qufu; ②Rizhao Polytechnic Colloge,276826,Rizhao,Shangdong,PRC);The Contravariant Finity of the Subcategory with Finite Gorenstein Projective Dimension[J];Journal of Qufu Normal University(Natural Science);2011-02
4 Guo Qiaoling (College of Mathematics and Information Engineering,Jiaxing University,Zhejiang Jiaxing 314001);Galois Theory for Partial Group Entwining Structure[J];Acta Mathematica Scientia;2011-02
5 Fang Xiaoli (Dept.of Math.,Shaoxing University,Shaoxing,312000 PRC/ Dept.of Math.,Southeast University,Nanjing,210096 PRC);EXAMPLES OF INVERTIBLE WEAK GROUP ENTWINING STRUCTURES AND GROUP CORINGS[J];Journal of Nanjing University(Mathematical Biquarterly);2010-01
6 Qiao Ling GUO, Qi Hui LI, Rui Fang HU College of Mathematics and Information Engineering, Jiaxing University, Zhejiang 314001, P. R. China;Morita Equivalences Induced by Two-Sided Group Relative Hopf-Module[J];Journal of Mathematical Research and Exposition;2011-05
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 WU Mei-yun(College of Science,Nantong University,226007,Jiangsu,Nantong,PRC);Construction Classification of Hopf Path Coalgebras over Dihedral Group(Ⅲ)[J];Journal of Qufu Normal University(Natural Science);2007-01
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 YANG Zhi_ying, WANG Ding_guo (①Personel Section; ②Department of Mathematics, Qufu Normal University, 273165, Qufu, Shandong);STRONGLY EQUIPRIMITIVITY OF GENERALIZAD NEAR-RINGS[J];Journal of Qufu Normal University(Natural Science);2001-03
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