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Qiuhui Mo

  1. Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra.

    Tue, 05/18/2010 - 15:01 — SomNambul
    Authors: Yuqun Chen, Qiuhui Mo
    Subjects: Rings and Algebras
    Abstract

    In this paper, by using Gr\"obner-Shirshov bases for Rota-Baxter algebras, we
    prove that every dendriform dialgebra over a field of characteristic 0 can be
    embedded into its universal enveloping Rota-Baxter algebra of weight 0.

  2. Gr\"{o}bner-Shirshov bases and embeddings of algebras.

    Mon, 08/17/2009 - 18:30 — SomNambul
    Authors: L.A. Bokut, Yuqun Chen, Qiuhui Mo
    Subjects: Rings and Algebras
    Abstract

    In this paper, by using Gr\"{o}bner-Shirshov bases, we show that in the
    following classes, each (resp. countably generated) algebra can be embedded
    into a simple (resp. two-generated) algebra: associative differential algebras,
    associative $\Omega$-algebras, associative $\lambda$-differential algebras.

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