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Keywords:
Hom-left-symmetric algebra; Hom-$S$-equation; Hom-left-symmetric bialgebra
Summary:
The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also studied. In particular, we give a necessary and sufficient condition that $s$-matrix is a solution of the Hom-$S$-equation by a cocycle condition.
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