Hom-Hopf代数上的交叉余积
Crossed Coproducts over Hom-Hopf Algebras
摘要:为了研究 Hom-交叉余积，通过运用类比的思想方法，定义了 Hom-交叉余积，并通过计算给出了若干 Hom-交叉余积的相关性质。作为应用，得到了 Hom-交叉余积构成 Hom-余代数的充要条件，还有 Hom-交叉余积和 Hom smash 积形成 Hom-双代数的充分必要条件。
Abstract:In order to study the Hom-crossed-coproduct, we define the Hom-crossed-coproduct by analogy, and give some properties of Hom-crossed-coproduct by calculation. As an application, we obtain the necessary and sufficient conditions for Hom-crossed- coproduct to form Hom-coalgebra, and the necessary and sufficient conditions for Hom-crossed-coproduct and Hom-smash-product to form Hom-bialgebra.
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