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Curved O-operator systems (1710.05232v1)
Published 14 Oct 2017 in math.RA
Abstract: We introduce the notion of curved $\mathcal{O}$-operator systems as a generalization of T. Brzezi\'{n}ski's (curved) Rota-Baxter systems, and then investigate their relations with (tri)dendriform systems and pre-Lie algebras. Moreover, we consider the special cases of generalized Rota-Baxter algebras with respect to associative compatible pairs and then double curved Rota-Baxter systems.