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The cohomology group of weak entwining structure 被引量:4

The cohomology group of weak entwining structure
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摘要 In this paper, we reveal that a weak entwining structure admits a rich cohomology theory. As an application we compute the cohomology of a weak entwining structure associated to a weak coalgebra-Galois extension. In this paper, we reveal that a weak entwining structure admits a rich cohomology theory. As an application we compute the cohomology of a weak entwining structure associated to a weak coalgebra-Galois extension.
出处 《Science China Mathematics》 SCIE 2007年第5期665-674,共10页 中国科学:数学(英文版)
关键词 weak entwining structure cohomology group 16W80 16W99 weak entwining structure cohomology group.
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  • 1LI Hui & YAO HaiLou College of Applied Science,Beijing University of Technology,Beijing 100124,China.The Hochschild cohomology of the quasi-entwining structure[J].Science China Mathematics,2010,53(4):1103-1110. 被引量:2
  • 2Redondo M J.Hochschild cohomology: some methods for computations. Resenhas . 2001
  • 3Doi Y.Homological coalgebras. Journal of the Mathematical Society of Japan . 1981
  • 4Happel D.Hochschild cohomology of finite-dimensional algebras. Lecture Notes in Mathematics . 1989
  • 5Hochschild G.On the cohomology groups of an associative algebra. Annals of Mathematics . 1945
  • 6Sweedler ME.Hopf Algebras. . 1969
  • 7S. Caenepeel,E. de Groot.Modules over weak entwining structure. Contemporary Maths . 2000
  • 8Cibils,C.Hochschild cohomology algebra of radical square zero algebras. CMS Conf Proc . 1998
  • 9D. Stefan,F. Van Oystaeyen.Hochschild Cohomology and the Coradical Filtration of Pointed Coalgebras. Applications, J. Algebra . 1998
  • 10Wisbauer,R.Weak corings. Journal of Algebra . 2001

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