结合H-代数的Grobner-Shirshov基

Grbner-Shirshov Bases for Associative H-Algebras

首先构造了自由结合H-代数,并在此基础上利用Shirshov的方法给出了合H-代数的Grobner-Shir-shov基理论,特别是证明了结合H-代数的钻石合成引理.

The notion of the associative H-algebra is introduced and the free associative H-algebra on a set is constructed. And then the Grobner-Shirshov bases for associative H-algebras is developed. Especial- ly, the Composition-Diamond Lemma for associative H-algebras is obtained.