杨芳, 张涛, 毕艳会. 交错双代数的延拓结构[J]. 南昌航空大学学报(自然科学版), 2024, 38(2): 49-55. DOI: 10.3969/j.issn.2096-8566.2024.02.006
引用本文: 杨芳, 张涛, 毕艳会. 交错双代数的延拓结构[J]. 南昌航空大学学报(自然科学版), 2024, 38(2): 49-55. DOI: 10.3969/j.issn.2096-8566.2024.02.006
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Fang YANG, Tao ZHANG, Yan-hui BI. Extending Structures for Alternative Bialgebras[J]. Journal of nanchang hangkong university(Natural science edition), 2024, 38(2): 49-55. DOI: 10.3969/j.issn.2096-8566.2024.02.006
Citation: Fang YANG, Tao ZHANG, Yan-hui BI. Extending Structures for Alternative Bialgebras[J]. Journal of nanchang hangkong university(Natural science edition), 2024, 38(2): 49-55. DOI: 10.3969/j.issn.2096-8566.2024.02.006
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交错双代数的延拓结构

Extending Structures for Alternative Bialgebras

    摘要
  • 摘要: 本文引入了辫子交错双代数的概念，并发展了交错双代数的双重双交叉积理论。作为应用，利用非交换上同调理论解决了交错双代数的延拓问题。

     

    Abstract: In this paper, the concept of braided alternative bialgebras is introduced, and the theory of double bicrossproducts of alternative bialgebras is developed. As an application, the extending problem of alternative bialgebras is solved by using non-abelian cohomology theory.

     

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