廣義Radford雙積Hom-Hopf代數(shù)和相關(guān)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(shù)和廣義smash余積Hom-余代數(shù)相結(jié)合,得到了他們成為Hom-雙代數(shù)的充分必要條件,這一結(jié)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(xué)數(shù)學(xué)與信息科學(xué)學(xué)院數(shù)學(xué)系;河南師范大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院大數(shù)據(jù)統(tǒng)計分析與優(yōu)化控制河南省工程實驗室;新鄉(xiāng)學(xué)院數(shù)學(xué)與信息科學(xué)學(xué)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:2337555
[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(xué)數(shù)學(xué)與信息科學(xué)學(xué)院數(shù)學(xué)系;河南師范大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院大數(shù)據(jù)統(tǒng)計分析與優(yōu)化控制河南省工程實驗室;新鄉(xiāng)學(xué)院數(shù)學(xué)與信息科學(xué)學(xué)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(shù)上的擬三角結(jié)構(gòu)和Hom-余扭曲余代數(shù)[D];河南師范大學(xué);2015年
,本文編號:2337555
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