Curved O-operator systems
Abstract
In this paper, we introduce the notion of curved O-operator systems as a generalization of T. Brzezi\'nski's (curved) Rota-Baxter systems, and then investigate their relations with O-operator systems, (tri)dendriform systems, pre-Lie algebras, associative Yang-Baxter pairs and quasitriangular covariant bialgebras.
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