COALGEBRA

作品数:39被引量:32H指数:4
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相关领域:理学更多>>
相关作者:王栓宏董丽红赵晓凡王圣祥郭广泉更多>>
相关机构:东南大学河南师范大学南京晓庄学院更多>>
相关期刊:《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Journal of Mathematical Study》更多>>
相关基金:国家自然科学基金北京市自然科学基金国家教育部博士点基金更多>>
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Dorroh extensions of algebras and coalgebras
《Frontiers of Mathematics in China》2021年第3期857-888,共32页Lan YOU Huixiang CHEN 
This work was supported by the National Natural Science Foundation of China(Grant Nos.12071412,11971418);Graduate Student Scientific Research Innovation Projects in Jiangsu Province(No.XKYCX18_036).
We study Dorroh extensions of algebras and Dorroh extensions of coalgebras.Their structures are described.Some properties of these extensions are presented.We also introduce the finite duals of algebras and modules wh...
关键词:Dorroh extension of algebra Dorroh extension of coalgebra Dorroh pair of coalgebras finite dual 
On Gorenstein coalgebras
《Frontiers of Mathematics in China》2016年第4期845-867,共23页Xuerong FU Hailou YAO 
The authers sincerely thank the referees and Prof. Dingguo Wang for the careful reading and helpful suggestions in improving the paper. This work was supported by the National Natural Science Foundation of China (Grant No. 11271119) and the Natural Science Foundation of Beijing (Grant No. 1122002).
We investigate the comodule representation category over the Morita-Takeuchi context coalgebra F and study the Gorensteinness of F. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-...
关键词:Gorenstein coalgebra Gorenstein injective comodule Gabriel quiver 
Representations and categorical realization of Hom-quasi-Hopf algebras被引量:1
《Frontiers of Mathematics in China》2015年第6期1263-1281,共19页Yongsheng CHENG Xiufu ZHANG 
Acknowledgements The authors would like to thank the referees for a number of helpful comments that greatly improved the presentation of this paper. The first author also thanks Prof. Ke Wu and Prof. Shikun Wang for stimulating discussion and help in preparation of this paper. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11047030, 11171055, 11571145) and the Science and Technology Program of Henan Province (No. 152300410061).
We give a monoidal category approach to Hom-coassociative coalgebra by imposing the Hom-coassociative law up to some isomorphisms on the comultiplication map and requiring that these isomorphisms satisfy the copentago...
关键词:Monoidal category Hom-coassociative 2-coalgebra Hom-quasiHopf algebra 
Some remarks on cotilting comodules被引量:2
《Frontiers of Mathematics in China》2014年第3期699-714,共16页Sujuan ZHANG Hailou YAO 
Acknowledgements The authors would like to thank the referees for the careful reading and valuable suggestions. This work was supported by National Natural Science Foundation of China (Grant Nos. 11271119, 11201314) and the Natural Science Foundation of Beijing (Grant No. 1122002).
We study cotilting comodules and f-cotilting comodules and give a description of localization of f-cotilting comodules and classical tilting comodules. First, we introduce T-cotilting injective comodules and their dim...
关键词:COALGEBRA COMODULE LOCALIZATION 
(*)-Serial coalgebras被引量:1
《Frontiers of Mathematics in China》2012年第5期955-970,共16页Hailou YAO Weili FAN Yanru PING 
In this paper, we introduce the notion of (*)-serial coalgebras which is a generalization of serial coalgebras. We investigate the properties of (*)-serial coalgebras and their comodules, and obtain sufficient a...
关键词:COALGEBRA biserial comodule  )-serial coalgebra QUIVER 
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