Smash积与Smash余积的对偶性
Duality between the Smash Product and Smash Coproduct
DOI: 10.12677/AAM.2017.69134, PDF,    科研立项经费支持
作者: 任北上, 金 帅, 陈 娟：广东科技学院，广东 东莞；韦玉球：广西外国语学院，广西 南宁；谢芬芳：广西师范学院，广西 南宁
关键词: Smash积；模余代数；余模余代数；Smash余积；Smash Product； Module Coalgebra； Comodule Coalgebra； Smash Coprodule
摘要: 本文探究了模代数与模余代数、余模代数与余模余代数之间的相互关系，并从含于余代数A0内的余模余代数A□出发，进一步刻画了Smash积与Smash余积的对偶性。
Abstract: This paper mainly discusses the relations between module algebra and module coalgebra, comod-ule algebra and comodule coalgebra. Last, from the comodule coalgebra A□ contained in A0, we further characterize duality between the smash product and smash coproduct.
文章引用：任北上, 韦玉球, 谢芬芳, 金帅, 陈娟. Smash积与Smash余积的对偶性[J]. 应用数学进展, 2017, 6(9): 1105-1114. https://doi.org/10.12677/AAM.2017.69134

参考文献

[1] Sweedle, M.E. (1969) Hopf Algebra. Benamin, New York.
[2] Cohen, M. (1986) Hopf Algebra Actions. Journal of Algebra, 100, 363-379.
[Google Scholar] [CrossRef] 
[3] Montgomery, S. (1993) Hopf Algebras and Their Actions on Rings. CBMS Regional Conference Series in Math, 82, Amer. Math. Soc., Providence.
[4] Blattner, R.J., Cohen, M. and Montgomery S. (1986) Crossed Products and Inner Actions Hopf Algebras. Transactions of the American Mathe-matical Society, 298, 671-711.
[Google Scholar] [CrossRef] 
[5] Zhang, Z.H., Wang, Z.W., Ren, B.S. and Zhang, L.Y. (2013) The Structure of Weak Hopf Module Coalgebras. Journal of Nanjing University Mathematical Biquarterly, 30, 1-12.

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