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D-equations and (H, A)-dimodules

D-equations and (H, A)-dimodules
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摘要 We present a kind of solutions of D-equations in terms of what we have called a D-pair in this paper. Some properties of dimodules associated with D-pairs are discussed as well. We present a kind of solutions of D-equations in terms of what we have called a D-pair in this paper. Some properties of dimodules associated with D-pairs are discussed as well.
作者 何济位
出处 《Northeastern Mathematical Journal》 CSCD 2003年第3期224-230,共7页 东北数学(英文版)
关键词 bialgebra D-equation dimodule bialgebra,D-equation, dimodule
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参考文献6

  • 1Takeuchi, M., Free Hopf algebras generated by coalgebras, J. Math. Soc. Japan, 23(1971),561-582.
  • 2Sweedler, M. E., Hopf Algebras, Benjamin, New York, 1969.
  • 3Faddeev, L. D., Reshetikhin, N. Yu. and Takhtajan, L. A., Quantization of Lie groups and Lie algebras, In M. Jimbo ed., Yang-Baxter Equation in Integrable Systems, World Sci., Singapore, 1989, pp.299-309.
  • 4Militaru, G., The long dimodules category and nonlinear equations, Algebras and Representation Theory, 2(1999), 177-200.
  • 5Bichon, J. and Street, R., Militaru's D-equation in monoidal categories, Appl. Categorical Structures, to appear.
  • 6Lu, D. M., Braided Yang-Baxter operations, Comm. Algebra, 27(1999), 503-509.

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