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Hopf π-代数与Hopf π-理想

Hopf π-algebras and Hopf π-ideals
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摘要 在Hopf π-代数上引进Hopf π-理想的概念,在Hopf π-余代数上引进Hopf π-子余代数的概念,主要讨论Hopf π-代数与Hopf π-理想的对偶,证明了局部有限维的Hopf π-代数的对偶是Hopf π-余代数,并给出Hopf π-理想的一个充分必要条件. The notions of Hopf π-ideal of Hopf π-algebra and Hopf π-subcoalgebra of Hopf π-coalgebra are introduced.The dual of Hopf π-algebra is discussed.It is shown that the dual of a local finite dimensional Hopf π-algebra is a Hopf π-coalgebra,and the dual of Hopf π-ideal is a Hopf π-suboalgebra.
出处 《扬州大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期4-8,共5页 Journal of Yangzhou University:Natural Science Edition
基金 国家自然科学基金资助项目(10771183) 扬州大学科研基金资助项目(FK0313085)
关键词 HOPF Π-代数 HOPF π-理想 HOPF Π-余代数 HOPF π-子余代数 Hopf π-algebra Hopf π-ideal Hopf π-coalgebra Hopf π-subcoalgebra
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