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Free differential Lie Rota-Baxter algebras and Gröbner-Shirshov bases (1704.04493v1)
Published 13 Apr 2017 in math.RA
Abstract: We establish the Gr\"obner-Shirshov bases theory for differential Lie $\Omega$-algebras. As an application, we give a linear basis of a free differential Lie Rota-Baxter algebra on a set.