廣義Radford雙積Hom-Hopf代數和相關辮子張量范疇(英文)
發(fā)布時間:2018-11-17 11:05
【摘要】:本文研究了Radford雙積的Hom-型.通過把廣義smash積Hom-代數和廣義smash余積Hom-余代數相結合,得到了他們成為Hom-雙代數的充分必要條件,這一結果推廣了著名的Radford雙積.
[Abstract]:In this paper, we study the Hom- type of Radford biproduct. By combining the generalized smash product Hom- algebra with the generalized smash coproduct Hom- coalgebra, the necessary and sufficient conditions for them to be Hom- bialgebras are obtained. This result generalizes the famous Radford biproduct.
【作者單位】: 河南師范大學數學與信息科學學院數學系;河南師范大學數學與信息科學學院大數據統(tǒng)計分析與優(yōu)化控制河南省工程實驗室;新鄉(xiāng)學院數學與信息科學學院;
【基金】:Supported by China Postdoctoral Science Foundation(2017M611291) Foundation for Young Key Teacher by Henan Province(2015GGJS-088) Natural Science Foundation of Henan Province(17A110007)
【分類號】:O153;O183.2
本文編號:2337556
[Abstract]:In this paper, we study the Hom- type of Radford biproduct. By combining the generalized smash product Hom- algebra with the generalized smash coproduct Hom- coalgebra, the necessary and sufficient conditions for them to be Hom- bialgebras are obtained. This result generalizes the famous Radford biproduct.
【作者單位】: 河南師范大學數學與信息科學學院數學系;河南師范大學數學與信息科學學院大數據統(tǒng)計分析與優(yōu)化控制河南省工程實驗室;新鄉(xiāng)學院數學與信息科學學院;
【基金】:Supported by China Postdoctoral Science Foundation(2017M611291) Foundation for Young Key Teacher by Henan Province(2015GGJS-088) Natural Science Foundation of Henan Province(17A110007)
【分類號】:O153;O183.2
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1 夏正亮;Hom-T-Smash積Hom-Hopf代數上的擬三角結構和Hom-余扭曲余代數[D];河南師范大學;2015年
,本文編號:2337556
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