Nijenhuis配对Hopf模及其构造

Nijenhuis paired Hopf modules and their constructions

摘要

结合Nijenhuis配对模和Nijenhuis配对余模,引入Nijenhuis配对Hopf模概念。由Hopf代数的对极映射和群像元分别构造Nijenhuis配对Hopf模,并给出Nijenhuis配对Hopf模的结构定理。

Abstract

The concept of Nijenhuis paired Hopf modules is introduced by combining Nijenhuis paired modules with Nijenhuis paired comodules. Nijenhuis paired Hopf modules are then constructed from the antipode and group-like element of a Hopf algebra. The structure theorem for Nijenhuis paired Hopf modules is provided.

关键词

Nijenhuis代数 / Hopf代数 / Nijenhuis配对Hopf模

Key words

Nijenhuis algebras / Hopf algebras / Nijenhuis paired Hopf modules

参考文献

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基金资助

中华农业科教基金会资助项目(NKJ202402009)

国家大学生实践创新训练计划资助项目(202410307084Z)