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Groebner-Shirshov bases for dialgebras

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 نشر من قبل Yuqun Chen
 تاريخ النشر 2010
  مجال البحث
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In this paper, we define the Grobner-Shirshov basis for a dialgebra. The Composition-Diamond lemma for dialgebras is given then. As results, we give Grobner-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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