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交叉余积双代数结构和Hopf代数
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作者 魏家林 《吉林大学自然科学学报》 CSCD 1996年第3期27-31,共5页
将Molnar的半直余积双代数推广到交叉余积双代数,得到交叉余积双代数实现的充要条件,并研究了交叉余积Hopf代数实现的条件.
关键词 交叉余积双代数 HOPF代数 代数 代数映射
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Paired bialgebras and braided bialgebras
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作者 赵青虎 张良云 《Journal of Southeast University(English Edition)》 EI CAS 2003年第2期188-192,共5页
First, we present semisimple properties of twisted products by means of constructing an algebra isomorphism between twisted products and crossed products, and point out that there exist some relations among braided bi... First, we present semisimple properties of twisted products by means of constructing an algebra isomorphism between twisted products and crossed products, and point out that there exist some relations among braided bialgebras, paired bialgebras and Yang-Baxter coalgebras. Furthermore, we give an example to illustrate these relations by using Sweedler's 4-dimensional Hopf algebra. Finally, from starting off with Yang-Baxter coalgebras, we can construct some quadratic bialgebras such that they are braided bialgebras. 展开更多
关键词 braided bialgebras paired bialgebras twisted products quadratic bialgebras
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