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arXiv · 0804.0638

Groebner-Shirshov bases for dialgebras

L. A. Bokut·Yuqun Chen·Cihua Liu
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Abstract

In this paper, we define the Gröbner-Shirshov basis for a dialgebra. The Composition-Diamond lemma for dialgebras is given then. As results, we give Gröbner-Shirshov bases for the universal enveloping algebra of a Leibniz algebra, the bar extension of a dialgebra, the free product of two dialgebras, and Clifford dialgebra. We obtain some normal forms for algebras mentioned the above.

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BibTeXRIS

L. A. Bokut, Yuqun Chen, Cihua Liu. 2010-05-16. Groebner-Shirshov bases for dialgebras. https://doi.org/10.1142/s0218196710005753

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