东南大学学报（英文版）2021，Vol.37Issue(1)：114-118,5.DOI:10.3969/j.issn.1003-7985.2021.01.015
拟群Hopf群余代数基本原理
Fundamentals of quasigroup Hopf group-coalgebras
摘要
Abstract
A large class of algebras(possibly nonassociative)with group-coalgebraic structures,called quasigroup Hopf group-coalgebras,is introduced and studied.Quasigroup Hopf group-coalgebras provide a unifying framework for the classical Hopf algebras and Hopf group-coalgebras as well as Hopf quasigroups.Then,basic results similar to those in Hopf algebras H are proved,such as anti-(co)multiplicativity of the antipode S:H → H,and S2 = id if H is commutative or cocommutative.关键词
Hopf拟群/群余代数/拟群Hopf群余代数/卷积代数Key words
Hopf quasigroup/group-coalgebra/quasigroup Hopf group-coalgebra/convolution algebra分类
数理科学引用本文复制引用
张森林,王栓宏..拟群Hopf群余代数基本原理[J].东南大学学报（英文版）,2021,37(1):114-118,5.基金项目
The National Natural Science Foundation of China(No.11371088,11571173,11871144),the Natural Science Foundation of Jiangsu Province(No.BK20171348). （No.11371088,11571173,11871144）
