Long Bialgebras, Dimodule Algebras and Quantum Yang–Baxter Modules over Long Bialgebras.

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. [ABSTRACT FROM AUTHOR]