文献类型：期刊文献

英文题名：TWISTED BIHOM-SMASH PRODUCTS AND L-R BIHOM-SMASH PRODUCTS FOR MONOIDAL BIHOM-HOPF ALGEBRAS

作者：Liu, Wei[1];Fang, Xiaoli[2];Torrecillas, Blas[3]

机构：[1]Shaoxing Univ, Yuanpei Coll, Dept Math, Shaoxing 312000, Peoples R China;[2]Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Peoples R China;[3]Univ Almeria, Dept Math, Almeria 04071, Spain

年份：2020

卷号：159

期号：2

起止页码：171

外文期刊名：COLLOQUIUM MATHEMATICUM

收录：SCI-EXPANDED(收录号：WOS:000571729900002)、、Scopus(收录号：2-s2.0-85106274078)、WOS

基金：The first author was financially supported by The Research Program on the Reform of Teaching Methodology in Higher Education of Zhejiang Province (No. JG20160261). The second author was financially supported by the Natural Science Foundation of Zhejiang Province (No. LY14A010006) and the National Natural Science Foundation of China (No. 11571239). The third author was partially supported by MTM2014-54439-P and FQM-251 of Junta de Andalucia.

语种：英文

外文关键词：monoidal BiHom-Hopf algebra; twisted BiHom-smash product; L-R BiHom-smash product

外文摘要：We construct two new BiHom-algebras from an H-BiHom-bimodule algebra (A, alpha(A), beta(A) and a BiHom-Hopf algebra (H,alpha(H), beta(H)): the twisted BiHom-smash product A #(T) H and the L-R BiHom-smash product A # H. We find necessary and sufficient conditions for them to be BiHom-Hopf algebras. Moreover, if H is a BiHom-cocommutative BiHom-Hopf algebra, we prove that A #(T) H and A # H are isomorphic as BiHom-Hopf algebras.