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COMODULES: 作品数：13被引量：5H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：李立斌魏俊潮更多>>; 相关机构：中国科学技术大学扬州大学更多>>; 相关期刊：《Algebra Colloquium》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金北京市自然科学基金更多>>

The Braided Monoidal Structure on the Category of Comodules of Bimonads: 《Algebra Colloquium》2019年第4期565-578,共14页Bingliang Shen Xiaoguang Zou Nanqing Ding; Supported by the National Natural Science Foundation of China(No.11601486);Foundation of Zhejiang Educational Commitee(No.Y201738645);Project of Zhejiang College,Shanghai University of Finance and Economics(No.2018YJYB01).; We investigate how the category of comodules of bimonads can be made into a monoidal category.It suffices that the monad and comonad in question are bimonads,with some extra compatibility relation.On a monoidal catego...; 关键词：MONAD COMONAD bimonad braided monoidal category

Corepresentation and Categorical Realization of Dual Hom-Quasi-Hopf Algebras: 《Journal of Mathematical Research with Applications》2015年第2期157-171,共15页Yongsheng CHENG Guang-ai SONG; Supported by the National Natural Science Foundation of China(Grant Nos.11047030;11171055;11071147); In this paper, we introduce the dual Hom-quasi-Hopf algebra and prove that the comodules category of a （braided） dual Hom-quasi-bialgebra is a monoidal category. Finally, we give a categorical realization of dual Ho...; 关键词：monoidal category dual Hom-quasi-Hopf algebra Hom-comodules

A Maschke Type Theorem for Weak Hopf π-Comodules: 《Chinese Quarterly Journal of Mathematics》2015年第1期144-152,共9页贾玲陈笑缘; Supported by the Natural Science Foundation of Shandong Province(ZR2012AL02); In this paper, we mainly generalize a Maschke type theorem to the setting of a weak Hopf group coalgebra. First we introduce the notion of a weak Hopf group coalgebra as a generalization of Hopf group coalgebra introd...; 关键词：weak Hopf π-coalgebra weak(H A) Hopf π-comodules Maschke type theorem

Coquasitriangular Weak Hopf Group Algebras and Braided Monoidal Categories: 《Journal of Mathematical Research with Applications》2014年第6期655-668,共14页Shuangjian GUO; Supported by the Natural Science Foundation of Jiangsu Province(Grant No.BK2012736);the Fund of Science and Technology Department of Guizhou Province(Grant No.2014GZ81365); In this paper, we first give the definitions of a crossed left π-H-comodules over a crossed weak Hopf π-algebra H, and show that the category of crossed left π-H-comodules is a monoidal category. Finally, we show t...; 关键词：π-H-comodules braided monoidal category coquasitriangular structure

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

Equivalences between Categories of Modules and Categories of Comodules: 《Acta Mathematica Sinica,English Series》2008年第10期1655-1674,共20页Joost VERCRUYSSE; We show the close connection between apparently different Galois theories for comodules introduced recently in [J. Gomez-Torrecillas and J. Vercruysse, Comatrix corings and Galois Comodules over firm rings, Algebr. Re...; 关键词：Galois comodules comatrix corings firm projectivity

Lie comodules and the constructions of Lie bialgebras: 《Science China Mathematics》2008年第6期1017-1026,共10页ZHANG LiangYun College of Science,Nanjing Agricultural University,Nanjing 210095,China; the Educational Ministry Key Foundation of China(Grant No.108154);the National Natural Science Foundation of China(Grant No.10571153); In this paper,we first give a direct sum decomposition of Lie comodules,and then accord- ing to the Lie comodule theory,construct some(triangular)Lie bialgebras through Lie coalgebras.; 关键词：Lie coalgebras Lie comodules Lie bialgebras triangular Lie bialgebras 16W30

A Note on "Modules, Comodules, and Cotensor Products over Frobenius Algebras"被引量：3: 《Chinese Annals of Mathematics,Series B》2006年第4期419-424,共6页Xiaowu CHEN Hualin HUANG Yanhua WANG; Project supported by AsiaLink Project "Algebras and Representations in China and Europe" ASI/B7-301/98/679-11 and the National Natural Science Foundation of China (No.10271113).; This is a note on Abrams＇ paper ＂Modules, Comodules, and Cotensor Products over Frobenius Algebras, Journal of Algebras＂（1999）. With the application of Frobenius coordinates developed recently by Kadison, one ha...; 关键词：Frobenius coordinates Cotensor Hochschild cohomology

Recent Developments in Morita Equivalence: Part Two: 《Journal of Modern Transportation》2000年第1期4-12,共9页汪明义; SupportedbytheFoundationofSouhthwestJiaotongUniversity (1 9990 5 ); Morita equivalence was established by Morita in the late 1950’s. In part one most of the recent developments in this theory on the categories of modules over rings were reviewed and some results were presented. Here ...; 关键词：Morita equivalence Morita Takeuchi equivalence COALGEBRAS categories of comodules QcF coalgebras classical tilting comodules

Solution to the Yang-Baxter Equation and QuantumYang-Baxter H-comodules: 《Journal of Mathematical Research and Exposition》1999年第4期649-653,共5页李立斌魏俊潮; Let H be an arbitrary Hopf algebra over a field k. In this paper, at first wedeal with the relationship between solutions to the Yang-Baxter equation and quantumYang-Baxter H-comodules; then we use the results to give...; 关键词：Yang-Baxter equation quantum Yang-Baxter H-comodule cobraided Hopfalgebra.

COMODULES