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Long Bialgebras, Dimodule Algebras and Quantum Yang-Baxter Modules over Long Bialgebras
Authors:Liang Yun Zhang
Affiliation:(1) College of Science, Nanjing Agricultural University, Nanjing 210095, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing 210008, P. R. China
Abstract:This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quantum Yang-Baxter modules over Long bialgebras.
Keywords:Long bialgebra   dimodule algebra   braided product   quantum Yang-Baxter module
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